## Gopal, Dhananjay

Compute Distance To:
 Author ID: gopal.dhananjay Published as: Gopal, Dhananjay; Gopal, D. External Links: dblp
 Documents Indexed: 78 Publications since 2003, including 1 Book 4 Contributions as Editor Co-Authors: 68 Co-Authors with 79 Joint Publications 2,058 Co-Co-Authors
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### Serials

 11 Fixed Point Theory and Applications 6 Thai Journal of Mathematics 4 Bulletin of Mathematical Analysis and Applications 3 The Journal of Fuzzy Mathematics 2 Indian Journal of Mathematics 2 Filomat 2 Nonlinear Functional Analysis and Applications 2 Varāhmihir Journal of Mathematical Sciences 2 Iranian Journal of Fuzzy Systems 2 Carpathian Journal of Mathematics 1 International Journal of General Systems 1 Mathematical Methods in the Applied Sciences 1 Applied Mathematics and Computation 1 Demonstratio Mathematica 1 Fuzzy Sets and Systems 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Computational and Applied Mathematics 1 Kybernetika 1 Tamkang Journal of Mathematics 1 Journal of National Academy of Mathematics, India 1 Journal of the Egyptian Mathematical Society 1 Abstract and Applied Analysis 1 Journal of Inequalities and Applications 1 Communications of the Korean Mathematical Society 1 Nonlinear Analysis. Modelling and Control 1 Mathematical Modelling and Analysis 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Journal of Intelligent and Fuzzy Systems 1 South East Asian Journal of Mathematics and Mathematical Sciences 1 Fixed Point Theory 1 Journal of Applied Functional Analysis 1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 1 Journal of Fixed Point Theory and Applications 1 International Review of Pure & Applied Mathematics 1 Banach Journal of Mathematical Analysis 1 Journal of International Academy of Physical Sciences 1 Tbilisi Mathematical Journal 1 Creative Mathematics and Informatics 1 Journal of Advanced Mathematical Studies 1 International Journal of Mathematical Sciences and Engineering Applications 1 Applied General Topology 1 International Journal of Nonlinear Analysis and Applications 1 Afrika Matematika 1 Journal of Nonlinear Analysis and Optimization: Theory & Applications 1 Mathematical Sciences 1 Mathematics 1 Journal of Function Spaces 1 Annals of Fuzzy Mathematics and Informatics 1 AIMS Mathematics
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### Fields

 76 General topology (54-XX) 34 Operator theory (47-XX) 5 Ordinary differential equations (34-XX) 5 Integral equations (45-XX) 3 General and overarching topics; collections (00-XX) 2 Dynamical systems and ergodic theory (37-XX) 1 Global analysis, analysis on manifolds (58-XX)

### Citations contained in zbMATH Open

52 Publications have been cited 337 times in 245 Documents Cited by Year
Some new fixed point theorems in Menger PM-spaces with application to Volterra type integral equation. Zbl 1410.54046
Gopal, Dhananjay; Abbas, Mujahid; Vetro, Calogero
2014
New fixed point results for mappings of contractive type with an application to nonlinear fractional differential equations. Zbl 1349.54108
Lakzian, Hossein; Gopal, Dhananjay; Sintunavarat, Wutiphol
2016
Fixed points of $$\alpha$$-type $$F$$-contractive mappings with an application to nonlinear fractional differential equation. Zbl 1363.54050
Gopal, Dhananjay; Abbas, Mujahid; Patel, Deepesh Kumar; Vetro, Calogero
2016
Some new fixed point theorems in fuzzy metric spaces. Zbl 1338.54167
Gopal, Dhananjay; Vetro, Calogero
2014
Common fixed points of generalized Meir-Keeler $$\alpha$$-contractions. Zbl 1469.54172
Patel, Deepesh; Abdeljawad, Thabet; Gopal, Dhananjay
2013
Some new fixed point results in rectangular metric spaces with an application to fractional-order functional differential equations. Zbl 1447.54030
Budhia, Lokesh; Aydi, Hassen; Ansari, Arslan Hojat; Gopal, Dhananjay
2020
Fixed point and periodic point results for $$\alpha$$-type $$F$$-contractions in modular metric spaces. Zbl 06581885
Padcharoen, Anantachai; Gopal, Dhananjay; Chaipunya, Parin; Kumam, Poom
2016
Common fixed point Theorems for non compatible mappings in fuzzy metric spaces. Zbl 1175.54048
Abbas, Mujahid; Altun, Ishak; Gopal, Dhananjay
2009
Some nonunique common fixed point theorems in symmetric spaces through $$\text{CLR}_{(S, T)}$$ property. Zbl 1263.54054
Karapınar, E.; Patel, D. K.; Imdad, M.; Gopal, D.
2013
Impact of common property (E.A.) on fixed point theorems in fuzzy metric spaces. Zbl 1214.54034
Gopal, D.; Imdad, M.; Vetro, C.
2011
Some coincidence and periodic points results in a metric space endowed with a graph and applications. Zbl 1453.54022
Gopal, Dhananjay; Vetro, Calogero; Abbas, Mujahid; Patel, Deepesh Kumar
2015
Common fixed point theorems for mappings satisfying common property (E. A.) in symmetric spaces. Zbl 1265.54169
2011
$$\psi$$-weak contractions in fuzzy metric spaces. Zbl 1260.54056
2011
Common fixed point theorems in modified intuitionistic fuzzy metric spaces with common property (E.A.). Zbl 1273.54079
2012
Best proximity point for $$\mathcal Z$$-contraction and Suzuki type $$\mathcal Z$$-contraction mappings with an application to fractional calculus. Zbl 1351.54025
Komal, Somayya; Kumam, Poom; Gopal, Dhananjay
2016
Generalizations of Darbo’s fixed point theorem for new condensing operators with application to a functional integral equation. Zbl 1477.47040
Rehman, Habib ur; Gopal, Dhananjay; Kumam, Poom
2019
A new class of fuzzy contractive mappings and fixed point theorems. Zbl 1397.54057
Shukla, Satish; Gopal, Dhananjay; Sintunavarat, Wutiphol
2018
An observation on $$\alpha$$-type $$F$$-contractions and some ordered-theoretic fixed point results. Zbl 1407.54032
2017
On applications of generalized $$F$$-contraction to differential equations. Zbl 07104508
Younis, Mudasir; Singh, Deepak; Gopal, Dhananjay; Goyal, Anil; Rathore, Mahendra Singh
2019
Common fixed point theorems for $$(\varphi,\psi)$$-weak contractions in fuzzy metric spaces. Zbl 1217.54059
Vetro, C.; Gopal, D.; Imdad, M.
2010
A note on recently introduced commutative conditions. Zbl 1301.54056
Abbas, Mujahid; Gopal, Dhananjay; Radenović, Stojan
2013
Fixed point theorems on ordered metric spaces through a rational contraction. Zbl 1297.54090
2013
A new approach to study fixed point of multivalued mappings in modular metric spaces and applications. Zbl 06695462
Jain, Dilip; Padcharoen, Anantachai; Kumam, Poom; Gopal, Dhananjay
2016
Metrical common fixed point theorems without completeness and closedness. Zbl 1274.54124
2012
An altering distance function in fuzzy metric fixed point theorems. Zbl 1338.54231
Wairojjana, Nopparat; Došenović, Tatjana; Rakić, Dušan; Gopal, Dhananjay; Kumam, Poom
2015
Further generalization of fixed point theorems in Menger PM-spaces. Zbl 1310.54053
Kutbi, Marwan Amin; Gopal, Dhananjay; Vetro, Calogero; Sintunavarat, Wutiphol
2015
Some fixed point theorems in 1-$$M$$-complete fuzzy metric-like spaces. Zbl 1358.54039
Shukla, Satish; Gopal, Dhananjay; Roldán-López-de-Hierro, Antonio-Francisco
2016
{$$\alpha$$}-type fuzzy $$H$$-contractive mappings in fuzzy metric spaces. Zbl 1460.54037
Beg, I.; Gopal, D.; Došenović, T.; Rakić, D.
2018
Absorbing pairs facilitating common fixed point theorems for Lipschitzian type mappings in symmetric spaces. Zbl 1246.54038
2012
New fixed point results in rectangular metric space and application to fractional calculus. Zbl 1453.54015
Budhia, Lokesh; Kir, Mehmet; Gopal, Dhananjay; Kiziltunç, Hukmi
2017
Extensions of almost-$$F$$ and $$F$$-Suzuki contractions with graph and some applications to fractional calculus. Zbl 1429.54045
Budhia, Lokesh Budhia; Kumam, Poom; Martínez-Moreno, Juan; Gopal, Dhananjay
2016
Some existence and uniqueness theorems on ordered metric spaces via generalized distances. Zbl 1286.54052
2013
Some discussion on the existence of common fixed points for a pair of maps. Zbl 1469.54173
Patel, Deepesh K.; Kumam, Poom; Gopal, Dhananjay
2013
($$\phi, \psi$$)-weak contractions in intuitionistic fuzzy metric spaces. Zbl 1305.54010
2014
Fixed point theorems via absorbing maps. Zbl 1155.54343
Mishra, U.; Ranadive, A. S.; Gopal, D.
2008
Computational fixed points in graphical rectangular metric spaces with application. Zbl 1435.54018
2020
Coincidence and periodic point results in a modular metric space endowed with a graph and applications. Zbl 1413.54154
Padcharoen, Anantachai; Kumam, Poom; Gopal, Dhananjay
2017
Background and recent developments of metric fixed point theory. Zbl 1381.54001
2018
On fixed point theorems involving altering distances in Menger probabilistic metric spaces. Zbl 06314065
Došenović, Tatjana; Kumam, Poom; Gopal, Dhananjay; Patel, Deepesh Kumar; Takači, Aleksandar
2013
Proving common fixed point theorems for Lipschitz type mappings via absorbing pairs. (Proving common fixed point theorems for Lipschitz type mappings via absorbing pair.) Zbl 1314.47081
Gopal, D.; Imdad, M.; Hasan, M.; Patel, D. K.
2011
Metrical common fixed points and commuting type mappings. Zbl 1468.54040
Gopal, Dhananjay; Bisht, Ravindra K.
2018
Erratum to: “Meir-Keeler $$\alpha$$-contractive fixed and common fixed point theorems”. Zbl 1423.54064
2013
Some new common fixed point theorems in fuzzy metric spaces. Zbl 1255.54021
2011
Metric structures and fixed point theory. Zbl 1459.54003
2021
Fuzzy-Prešić-Ćirić operators and applications to certain nonlinear differential equations. Zbl 07387751
Shukla, Satish; Gopal, Dhananjay; Rodríguez-López, Rosana
2016
Coupled coincidence and coupled common fixed point theorems on a fuzzy metric space with a graph. Zbl 1463.54141
Sumalai, Phumin; Kumam, Poom; Gopal, Dhananjay
2018
Common fixed point theorems in fuzzy metric-like spaces employing common property (E.A.). Zbl 07166495
Sumalai, Phumin; Kumam, Poom; Gopal, Dhananjay; Hasan, Mohd
2019
Some fixed point theorems in fuzzy metric space. Zbl 1168.54021
2008
A note on some recent fixed point theorems for expansion mappings. Zbl 1348.54052
Gopal, Dhananjay; Huang, Huaping
2016
Coupled coincidence point results in fuzzy metric spaces without completeness. Zbl 1302.54013
Choudhury, Binayak S.; Gopal, D.; Das, Pradyut
2013
Absorbing maps and fixed points. Zbl 1155.54311
Ranadive, A. S.; Mishra, U.; Gopal, D.
2008
Common fixed point results for generalized cyclic contraction mappings. Zbl 1310.54030
Abbas, Mujahid; Nazir, Talat; Gopal, Dhananjay
2015
Metric structures and fixed point theory. Zbl 1459.54003
2021
Some new fixed point results in rectangular metric spaces with an application to fractional-order functional differential equations. Zbl 1447.54030
Budhia, Lokesh; Aydi, Hassen; Ansari, Arslan Hojat; Gopal, Dhananjay
2020
Computational fixed points in graphical rectangular metric spaces with application. Zbl 1435.54018
2020
Generalizations of Darbo’s fixed point theorem for new condensing operators with application to a functional integral equation. Zbl 1477.47040
Rehman, Habib ur; Gopal, Dhananjay; Kumam, Poom
2019
On applications of generalized $$F$$-contraction to differential equations. Zbl 07104508
Younis, Mudasir; Singh, Deepak; Gopal, Dhananjay; Goyal, Anil; Rathore, Mahendra Singh
2019
Common fixed point theorems in fuzzy metric-like spaces employing common property (E.A.). Zbl 07166495
Sumalai, Phumin; Kumam, Poom; Gopal, Dhananjay; Hasan, Mohd
2019
A new class of fuzzy contractive mappings and fixed point theorems. Zbl 1397.54057
Shukla, Satish; Gopal, Dhananjay; Sintunavarat, Wutiphol
2018
{$$\alpha$$}-type fuzzy $$H$$-contractive mappings in fuzzy metric spaces. Zbl 1460.54037
Beg, I.; Gopal, D.; Došenović, T.; Rakić, D.
2018
Background and recent developments of metric fixed point theory. Zbl 1381.54001
2018
Metrical common fixed points and commuting type mappings. Zbl 1468.54040
Gopal, Dhananjay; Bisht, Ravindra K.
2018
Coupled coincidence and coupled common fixed point theorems on a fuzzy metric space with a graph. Zbl 1463.54141
Sumalai, Phumin; Kumam, Poom; Gopal, Dhananjay
2018
An observation on $$\alpha$$-type $$F$$-contractions and some ordered-theoretic fixed point results. Zbl 1407.54032
2017
New fixed point results in rectangular metric space and application to fractional calculus. Zbl 1453.54015
Budhia, Lokesh; Kir, Mehmet; Gopal, Dhananjay; Kiziltunç, Hukmi
2017
Coincidence and periodic point results in a modular metric space endowed with a graph and applications. Zbl 1413.54154
Padcharoen, Anantachai; Kumam, Poom; Gopal, Dhananjay
2017
New fixed point results for mappings of contractive type with an application to nonlinear fractional differential equations. Zbl 1349.54108
Lakzian, Hossein; Gopal, Dhananjay; Sintunavarat, Wutiphol
2016
Fixed points of $$\alpha$$-type $$F$$-contractive mappings with an application to nonlinear fractional differential equation. Zbl 1363.54050
Gopal, Dhananjay; Abbas, Mujahid; Patel, Deepesh Kumar; Vetro, Calogero
2016
Fixed point and periodic point results for $$\alpha$$-type $$F$$-contractions in modular metric spaces. Zbl 06581885
Padcharoen, Anantachai; Gopal, Dhananjay; Chaipunya, Parin; Kumam, Poom
2016
Best proximity point for $$\mathcal Z$$-contraction and Suzuki type $$\mathcal Z$$-contraction mappings with an application to fractional calculus. Zbl 1351.54025
Komal, Somayya; Kumam, Poom; Gopal, Dhananjay
2016
A new approach to study fixed point of multivalued mappings in modular metric spaces and applications. Zbl 06695462
Jain, Dilip; Padcharoen, Anantachai; Kumam, Poom; Gopal, Dhananjay
2016
Some fixed point theorems in 1-$$M$$-complete fuzzy metric-like spaces. Zbl 1358.54039
Shukla, Satish; Gopal, Dhananjay; Roldán-López-de-Hierro, Antonio-Francisco
2016
Extensions of almost-$$F$$ and $$F$$-Suzuki contractions with graph and some applications to fractional calculus. Zbl 1429.54045
Budhia, Lokesh Budhia; Kumam, Poom; Martínez-Moreno, Juan; Gopal, Dhananjay
2016
Fuzzy-Prešić-Ćirić operators and applications to certain nonlinear differential equations. Zbl 07387751
Shukla, Satish; Gopal, Dhananjay; Rodríguez-López, Rosana
2016
A note on some recent fixed point theorems for expansion mappings. Zbl 1348.54052
Gopal, Dhananjay; Huang, Huaping
2016
Some coincidence and periodic points results in a metric space endowed with a graph and applications. Zbl 1453.54022
Gopal, Dhananjay; Vetro, Calogero; Abbas, Mujahid; Patel, Deepesh Kumar
2015
An altering distance function in fuzzy metric fixed point theorems. Zbl 1338.54231
Wairojjana, Nopparat; Došenović, Tatjana; Rakić, Dušan; Gopal, Dhananjay; Kumam, Poom
2015
Further generalization of fixed point theorems in Menger PM-spaces. Zbl 1310.54053
Kutbi, Marwan Amin; Gopal, Dhananjay; Vetro, Calogero; Sintunavarat, Wutiphol
2015
Common fixed point results for generalized cyclic contraction mappings. Zbl 1310.54030
Abbas, Mujahid; Nazir, Talat; Gopal, Dhananjay
2015
Some new fixed point theorems in Menger PM-spaces with application to Volterra type integral equation. Zbl 1410.54046
Gopal, Dhananjay; Abbas, Mujahid; Vetro, Calogero
2014
Some new fixed point theorems in fuzzy metric spaces. Zbl 1338.54167
Gopal, Dhananjay; Vetro, Calogero
2014
($$\phi, \psi$$)-weak contractions in intuitionistic fuzzy metric spaces. Zbl 1305.54010
2014
Common fixed points of generalized Meir-Keeler $$\alpha$$-contractions. Zbl 1469.54172
Patel, Deepesh; Abdeljawad, Thabet; Gopal, Dhananjay
2013
Some nonunique common fixed point theorems in symmetric spaces through $$\text{CLR}_{(S, T)}$$ property. Zbl 1263.54054
Karapınar, E.; Patel, D. K.; Imdad, M.; Gopal, D.
2013
A note on recently introduced commutative conditions. Zbl 1301.54056
Abbas, Mujahid; Gopal, Dhananjay; Radenović, Stojan
2013
Fixed point theorems on ordered metric spaces through a rational contraction. Zbl 1297.54090
2013
Some existence and uniqueness theorems on ordered metric spaces via generalized distances. Zbl 1286.54052
2013
Some discussion on the existence of common fixed points for a pair of maps. Zbl 1469.54173
Patel, Deepesh K.; Kumam, Poom; Gopal, Dhananjay
2013
On fixed point theorems involving altering distances in Menger probabilistic metric spaces. Zbl 06314065
Došenović, Tatjana; Kumam, Poom; Gopal, Dhananjay; Patel, Deepesh Kumar; Takači, Aleksandar
2013
Erratum to: “Meir-Keeler $$\alpha$$-contractive fixed and common fixed point theorems”. Zbl 1423.54064
2013
Coupled coincidence point results in fuzzy metric spaces without completeness. Zbl 1302.54013
Choudhury, Binayak S.; Gopal, D.; Das, Pradyut
2013
Common fixed point theorems in modified intuitionistic fuzzy metric spaces with common property (E.A.). Zbl 1273.54079
2012
Metrical common fixed point theorems without completeness and closedness. Zbl 1274.54124
2012
Absorbing pairs facilitating common fixed point theorems for Lipschitzian type mappings in symmetric spaces. Zbl 1246.54038
2012
Impact of common property (E.A.) on fixed point theorems in fuzzy metric spaces. Zbl 1214.54034
Gopal, D.; Imdad, M.; Vetro, C.
2011
Common fixed point theorems for mappings satisfying common property (E. A.) in symmetric spaces. Zbl 1265.54169
2011
$$\psi$$-weak contractions in fuzzy metric spaces. Zbl 1260.54056
2011
Proving common fixed point theorems for Lipschitz type mappings via absorbing pairs. (Proving common fixed point theorems for Lipschitz type mappings via absorbing pair.) Zbl 1314.47081
Gopal, D.; Imdad, M.; Hasan, M.; Patel, D. K.
2011
Some new common fixed point theorems in fuzzy metric spaces. Zbl 1255.54021
2011
Common fixed point theorems for $$(\varphi,\psi)$$-weak contractions in fuzzy metric spaces. Zbl 1217.54059
Vetro, C.; Gopal, D.; Imdad, M.
2010
Common fixed point Theorems for non compatible mappings in fuzzy metric spaces. Zbl 1175.54048
Abbas, Mujahid; Altun, Ishak; Gopal, Dhananjay
2009
Fixed point theorems via absorbing maps. Zbl 1155.54343
Mishra, U.; Ranadive, A. S.; Gopal, D.
2008
Some fixed point theorems in fuzzy metric space. Zbl 1168.54021
2008
Absorbing maps and fixed points. Zbl 1155.54311
Ranadive, A. S.; Mishra, U.; Gopal, D.
2008
all top 5

### Cited by 363 Authors

 20 Fixed Point Theory and Applications 17 Journal of Function Spaces 15 Filomat 10 Abstract and Applied Analysis 9 Journal of Inequalities and Applications 8 Thai Journal of Mathematics 8 Journal of Fixed Point Theory and Applications 7 Nonlinear Functional Analysis and Applications 7 Journal of Nonlinear Science and Applications 5 Demonstratio Mathematica 5 Advances in Difference Equations 5 Mathematics 4 Nonlinear Analysis. Modelling and Control 4 Boletim da Sociedade Paranaense de Matemática. Terceira Série 4 Journal of Mathematics 4 Sahand Communications in Mathematical Analysis 4 AIMS Mathematics 3 Applied Mathematics and Computation 3 The Journal of Analysis 3 Journal of the Egyptian Mathematical Society 3 Communications de la Faculté des Sciences de l’Université d’Ankara. Séries A1. Mathematics and Statistics 3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 3 South East Asian Journal of Mathematics and Mathematical Sciences 3 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 3 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 3 Symmetry 3 Afrika Matematika 3 Mathematical Sciences 3 International Journal of Analysis and Applications 3 Journal of Linear and Topological Algebra 2 Chaos, Solitons and Fractals 2 Fuzzy Sets and Systems 2 International Journal of Mathematics and Mathematical Sciences 2 Mathematica Slovaca 2 Rendiconti del Circolo Matemàtico di Palermo. Serie II 2 Journal of Applied Mathematics 2 Journal of Intelligent and Fuzzy Systems 2 Bulletin of Mathematical Analysis and Applications 2 Advances in Fuzzy Systems 2 Applied General Topology 2 Journal of Pseudo-Differential Operators and Applications 2 Journal of Mathematical Extension 2 Cogent Mathematics 1 Journal of Computational and Applied Mathematics 1 The Journal of the Indian Mathematical Society. New Series 1 Journal of the Korean Mathematical Society 1 Kyungpook Mathematical Journal 1 Numerical Functional Analysis and Optimization 1 Facta Universitatis. Series Mathematics and Informatics 1 Mathematical and Computer Modelling 1 Aequationes Mathematicae 1 Random Operators and Stochastic Equations 1 Complexity 1 Honam Mathematical Journal 1 Novi Sad Journal of Mathematics 1 Mathematica Moravica 1 Discrete Dynamics in Nature and Society 1 Annales Mathematicae Silesianae 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 Mathematical Modelling and Analysis 1 Dynamics of Continuous, Discrete & Impulsive Systems. Series B. Applications & Algorithms 1 Applied Mathematics E-Notes 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Hacettepe Journal of Mathematics and Statistics 1 Iranian Journal of Fuzzy Systems 1 Boundary Value Problems 1 JP Journal of Fixed Point Theory and Applications 1 Journal of Mathematical Inequalities 1 European Journal of Pure and Applied Mathematics 1 Tbilisi Mathematical Journal 1 São Paulo Journal of Mathematical Sciences 1 Advances in Mathematical Physics 1 International Journal of Differential Equations 1 Iranian Journal of Mathematical Sciences and Informatics 1 S$$\vec{\text{e}}$$MA Journal 1 Journal of Mathematical Research with Applications 1 Journal of Applied Analysis and Computation 1 Axioms 1 Carpathian Mathematical Publications 1 International Journal of Analysis 1 Topological Algebra and its Applications 1 Journal of Operators 1 Open Mathematics 1 Advances in Operator Theory 1 Korean Journal of Mathematics 1 Bollettino dell’Unione Matematica Italiana