Edit Profile (opens in new tab) Pai, Devidas V. Co-Author Distance Author ID: pai.devidas-v Published as: Pai, D. V.; Pai, Devidas; Pai, Devidas V. more...less Documents Indexed: 55 Publications since 1971, including 2 Books 1 Contribution as Editor Co-Authors: 19 Co-Authors with 37 Joint Publications 459 Co-Co-Authors all top 5 Co-Authors 17 single-authored 7 Veeramani, P. 5 Govindarajulu, Paladugu 3 Beer, Gerald Alan 3 Deshpande, B. M. 3 Shunmugaraj, P. 2 Indira, K. P. 2 K., Indira 2 Naimpally, Somashekhar Amrith 2 Nowroji, P. T. 2 Sengadir, T. 1 Basha, S. Sadiq 1 Kaulgud, N. N. 1 Laurent, Pierre-Jean 1 Limaye, Balmohan Vishnu 1 Mhaskar, Hrushikesh N. 1 Micchelli, Charles A. 1 Naoum, R. S. 1 Pani, Amiya Kumar 1 Singh, Sankatha Prasad all top 5 Serials 7 Indian Journal of Pure & Applied Mathematics 7 Journal of Approximation Theory 6 Numerical Functional Analysis and Optimization 3 The Journal of the Indian Mathematical Society. New Series 3 Yokohama Mathematical Journal 2 Journal of Mathematical Analysis and Applications 2 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 1 Indian Journal of Mathematics 1 International Journal of Mathematics and Mathematical Sciences 1 The Mathematics Student 1 Publications de l’Institut Mathématique. Nouvelle Série 1 Nieuw Archief voor Wiskunde. Derde Serie 1 Revue d’Analyse Numérique et de Théorie de l’Approximation 1 Nonlinear Analysis Forum 1 ISNM. International Series of Numerical Mathematics 1 Nonlinear Analysis. Theory, Methods & Applications all top 5 Fields 37 Approximations and expansions (41-XX) 14 Operator theory (47-XX) 10 General topology (54-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 6 Functional analysis (46-XX) 2 Numerical analysis (65-XX) 1 General and overarching topics; collections (00-XX) 1 Functions of a complex variable (30-XX) 1 Ordinary differential equations (34-XX) 1 Convex and discrete geometry (52-XX) 1 Computer science (68-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 32 Publications have been cited 186 times in 134 Documents Cited by ▼ Year ▼ Best proximity pair theorems. Zbl 1021.47027 Sadiq Basha, S.; Veeramani, P.; Pai, D. V. 34 2001 Fundamentals of approximation theory. Zbl 0964.41001 Mhaskar, Hrushikesh N.; Pai, Devidas V. 27 2000 On convergence of convex sets and relative Chebyshev centers. Zbl 0733.41030 Beer, Gerald; Pai, Devidas 22 1990 On restricted centers of sets. Zbl 0738.41022 Pai, D. V.; Nowroji, P. T. 16 1991 Proximal maps, prox maps and coincidence points. Zbl 0726.41035 Beer, Gerald; Pai, Devidas 13 1990 The Prox map. Zbl 0681.46016 Beer, Gerald; Pai, Devidas 11 1991 On stability of approximate solutions of minimization problems. Zbl 0772.49011 Shunmugaraj, P.; Pai, D. V. 11 1991 On simultaneous approximation. Zbl 0915.41012 Laurent, Pierre-Jean; Pai, Devidas 6 1998 A characterization of smooth normed linear spaces. Zbl 0331.41026 Pai, D. V. 6 1976 On properties of sets related to f-projections. Zbl 0476.46012 Govindarajulu, P.; Pai, D. V. 4 1980 On set-valued f-projections and f-farthest point mappings. Zbl 0561.41026 Pai, D. V.; Govindarajulu, P. 3 1984 Proximal points of convex sets in normed linear spaces. Zbl 0295.41017 Pai, D. V. 3 1974 Fixed point theorems for set-valued mappings. Zbl 0297.54032 Kaulgud, N. N.; Pai, D. V. 3 1975 On solar properties of sets and radial continuity of set-valued f- projections. Zbl 0601.41037 Govindarajulu, P.; Pai, D. V. 3 1986 On approximate minima of a convex functional and lower semicontinuity of metric projections. Zbl 0727.41035 Shunmugaraj, P.; Pai, D. V. 3 1991 On f-farthest points of sets. Zbl 0545.41044 Govindarajulu, P.; Pai, D. V. 2 1983 Multi-optimum d’une fonctionnelle convexe sur des ensembles réguliers. Zbl 0305.41017 Pai, Devidas 2 1975 Multioptimum of a convex functional. Zbl 0346.41032 Pai, D. V. 2 1977 Fixed point theorems for multi-mappings. Zbl 0436.54038 Pai, D. V.; Veeramani, P. 2 1980 On well-posedness of some problems in approximation. Zbl 1116.41028 Pai, D. V. 1 2003 On some fixed point theorems in Banach spaces. Zbl 0492.47031 Pai, D. V.; Veeramani, P. 1 1982 Some fixed point theorems for multi-mappings. Zbl 0531.54049 Pai, D. V.; Veeramani, P. 1 1983 On nonlinear minimization problems and Lf-splines. I. Zbl 0541.41038 Pai, D. V. 1 1983 Hausdorff strong uniqueness in simultaneous approximation. Zbl 1194.41027 Pai, Devidas; K, Indira 1 2007 On continuity of the prox map and the restricted center map. Zbl 1137.49308 Pai, D. V.; Deshpande, B. M. 1 1995 Topologies related to the prox map and the restricted center map. Zbl 0849.41010 Pai, D. V.; Deshpande, B. M. 1 1995 Stability results for optimal values, constrained level sets and approximate minima. Zbl 1061.47050 Shunmugaraj, P.; Pai, D. V. 1 2001 Fixed point theorems for multi-mappings. Zbl 0471.54030 Pai, D. V.; Veeramani, P. 1 1980 Stong uniqueness of best simultaneous approximation. Zbl 1087.41501 Pai, D. V. 1 2000 Methods of functional analysis in approximation theory. Proceedings of the International Conference held at the Indian Institute of Technology, Bombay, December 16-20, 1985. Zbl 0592.00021 1 1986 A Leray-Schauder type theorem and applications to boundary value problems for neutral equations. Zbl 0879.34074 Sengadir, T.; Pai, D. V.; Pani, A. K. 1 1997 Strong unicity of restricted \(p\)-centers. Zbl 1152.41012 Pai, D. V. 1 2008 Strong unicity of restricted \(p\)-centers. Zbl 1152.41012 Pai, D. V. 1 2008 Hausdorff strong uniqueness in simultaneous approximation. Zbl 1194.41027 Pai, Devidas; K, Indira 1 2007 On well-posedness of some problems in approximation. Zbl 1116.41028 Pai, D. V. 1 2003 Best proximity pair theorems. Zbl 1021.47027 Sadiq Basha, S.; Veeramani, P.; Pai, D. V. 34 2001 Stability results for optimal values, constrained level sets and approximate minima. Zbl 1061.47050 Shunmugaraj, P.; Pai, D. V. 1 2001 Fundamentals of approximation theory. Zbl 0964.41001 Mhaskar, Hrushikesh N.; Pai, Devidas V. 27 2000 Stong uniqueness of best simultaneous approximation. Zbl 1087.41501 Pai, D. V. 1 2000 On simultaneous approximation. Zbl 0915.41012 Laurent, Pierre-Jean; Pai, Devidas 6 1998 A Leray-Schauder type theorem and applications to boundary value problems for neutral equations. Zbl 0879.34074 Sengadir, T.; Pai, D. V.; Pani, A. K. 1 1997 On continuity of the prox map and the restricted center map. Zbl 1137.49308 Pai, D. V.; Deshpande, B. M. 1 1995 Topologies related to the prox map and the restricted center map. Zbl 0849.41010 Pai, D. V.; Deshpande, B. M. 1 1995 On restricted centers of sets. Zbl 0738.41022 Pai, D. V.; Nowroji, P. T. 16 1991 The Prox map. Zbl 0681.46016 Beer, Gerald; Pai, Devidas 11 1991 On stability of approximate solutions of minimization problems. Zbl 0772.49011 Shunmugaraj, P.; Pai, D. V. 11 1991 On approximate minima of a convex functional and lower semicontinuity of metric projections. Zbl 0727.41035 Shunmugaraj, P.; Pai, D. V. 3 1991 On convergence of convex sets and relative Chebyshev centers. Zbl 0733.41030 Beer, Gerald; Pai, Devidas 22 1990 Proximal maps, prox maps and coincidence points. Zbl 0726.41035 Beer, Gerald; Pai, Devidas 13 1990 On solar properties of sets and radial continuity of set-valued f- projections. Zbl 0601.41037 Govindarajulu, P.; Pai, D. V. 3 1986 Methods of functional analysis in approximation theory. Proceedings of the International Conference held at the Indian Institute of Technology, Bombay, December 16-20, 1985. Zbl 0592.00021 1 1986 On set-valued f-projections and f-farthest point mappings. Zbl 0561.41026 Pai, D. V.; Govindarajulu, P. 3 1984 On f-farthest points of sets. Zbl 0545.41044 Govindarajulu, P.; Pai, D. V. 2 1983 Some fixed point theorems for multi-mappings. Zbl 0531.54049 Pai, D. V.; Veeramani, P. 1 1983 On nonlinear minimization problems and Lf-splines. I. Zbl 0541.41038 Pai, D. V. 1 1983 On some fixed point theorems in Banach spaces. Zbl 0492.47031 Pai, D. V.; Veeramani, P. 1 1982 On properties of sets related to f-projections. Zbl 0476.46012 Govindarajulu, P.; Pai, D. V. 4 1980 Fixed point theorems for multi-mappings. Zbl 0436.54038 Pai, D. V.; Veeramani, P. 2 1980 Fixed point theorems for multi-mappings. Zbl 0471.54030 Pai, D. V.; Veeramani, P. 1 1980 Multioptimum of a convex functional. Zbl 0346.41032 Pai, D. V. 2 1977 A characterization of smooth normed linear spaces. Zbl 0331.41026 Pai, D. V. 6 1976 Fixed point theorems for set-valued mappings. Zbl 0297.54032 Kaulgud, N. N.; Pai, D. V. 3 1975 Multi-optimum d’une fonctionnelle convexe sur des ensembles réguliers. Zbl 0305.41017 Pai, Devidas 2 1975 Proximal points of convex sets in normed linear spaces. Zbl 0295.41017 Pai, D. V. 3 1974 all cited Publications top 5 cited Publications all top 5 Cited by 167 Authors 14 Basha, S. Sadiq 13 Pai, Devidas V. 11 Beer, Gerald Alan 8 Kumam, Poom 8 Li, Chong 6 Mongkolkeha, Chirasak 6 Shahzad, Naseer 5 Shunmugaraj, P. 4 Jeyaraj, R. 4 Mhaskar, Hrushikesh N. 4 Paul, Tanmoy 4 Sintunavarat, Wutiphol 4 Sonntag, Yves 4 Veeramani, P. 3 Attouch, Hedy 3 Ayari, Mohamed Iadh 3 Zălinescu, Constantin 2 Amirfakhrian, Majid 2 Daptari, Soumitra 2 De Blasi, Francesco Saverio 2 Deshpande, B. M. 2 Govindarajulu, Paladugu 2 López Acedo, Genaro 2 Nashine, Hemant Kumar 2 Papageorgiou, Nikolaos S. 2 Papini, Pier Luigi 2 Penot, Jean-Paul 2 Prestin, Jurgen 2 Roberto, Lucchetti E. 2 Sanhan, Sujitra 2 Thomas, Teena 2 Wang, Xinghua 2 Wets, Roger Jean-Baptiste 1 Abbasbandy, Saeid 1 Abbasi, Naser 1 Abdeljawad, Thabet 1 Agadi, Ali 1 Agrawal, Purshottam Narain 1 Ali, Amjad 1 Alimov, Alexey R. 1 Alleche, Boualem 1 Alvoni, Elisabetta 1 Amini-Harandi, Alireza 1 Ansari, Arslan Hojat 1 Arshad, Muhammad 1 Asif, Awais 1 Aydi, Hassen Mohamed 1 Azé, Dominique 1 Balayadi, Aziza 1 Bascanbaz-Tunca, Gulen 1 Bay, Xavier 1 Borisovich, Yuriĭ Grigor’evich 1 Boĭvalenkov, Pet”r Georgiev 1 Çetin, Nursel 1 Champion, R. 1 Chand, Arya Kumar Bedabrata 1 Chandok, Sumit 1 Chen, Dingyuan 1 Chen, Mingpo 1 Cheng, Wentao 1 D’Ambrosio, Claudia 1 De Bonis, Maria Carmela 1 Dehghan, Mohammad Ali 1 Dewangan, Champa Lal 1 Dragnev, Peter D. 1 Duman, Oktay 1 Ergür, Alperen Ali 1 Espínola García, Rafael 1 Filbir, Frank-Dieter 1 Frigon, Marlène 1 Ftouhi, Ilias 1 Gel’man, Boris Danielovich 1 Georgiev, Pando Grigorov 1 Golshan, Hamid Mottaghi 1 González Ortiz, Manuel 1 Grammont, Laurence 1 Haddadi, Mohammad Reza 1 Hardin, Douglas P. 1 He, Jinsu 1 He, Tian-Xiao 1 Hsu, Leetsch Charles 1 Işık, Hüseyin 1 Jaradat, Mohammed Mahmoud 1 Jothy, A. Herminau 1 Kaboul, Hanane 1 Kandilakis, Dimitrios A. 1 Keener, Lee L. 1 Khalil, Sarah 1 Kim, Won Kyu 1 Kongban, Chayut 1 Kum, Sangho 1 Kutbi, Marwan Amin 1 Lalithambigai, S. 1 Lee, Kyoung Hee 1 Lee, Mun Bae 1 Lenard, Christopher T. 1 Levis, Fabián Eduardo 1 Liu, Guofen 1 Lodi, Andrea 1 Lowen, Robert ...and 67 more Authors all top 5 Cited in 62 Serials 17 Journal of Approximation Theory 9 Numerical Functional Analysis and Optimization 9 Fixed Point Theory and Applications 7 Abstract and Applied Analysis 5 Journal of Mathematical Analysis and Applications 5 Optimization Letters 5 Nonlinear Analysis. Theory, Methods & Applications 4 Journal of Optimization Theory and Applications 3 Journal of Global Optimization 3 Set-Valued Analysis 3 Acta Mathematica Sinica. English Series 3 Analysis in Theory and Applications 2 Rocky Mountain Journal of Mathematics 2 Applied Mathematics and Computation 2 Archiv der Mathematik 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Proceedings of the American Mathematical Society 2 Transactions of the American Mathematical Society 2 Applied and Computational Harmonic Analysis 1 Bulletin of the Australian Mathematical Society 1 Computers & Mathematics with Applications 1 Mathematical Methods in the Applied Sciences 1 Russian Mathematical Surveys 1 Studia Mathematica 1 Mathematics of Computation 1 BIT 1 Journal of Soviet Mathematics 1 Kybernetika 1 Results in Mathematics 1 Topology and its Applications 1 Operations Research Letters 1 Optimization 1 Facta Universitatis. Series Mathematics and Informatics 1 Applied Mathematics Letters 1 Science in China. Series A 1 The Journal of Geometric Analysis 1 Numerical Algorithms 1 International Journal of Computer Mathematics 1 Expositiones Mathematicae 1 Mathematical Programming. Series A. Series B 1 Chinese Science Bulletin 1 Computational Optimization and Applications 1 The Journal of Analysis 1 Computational and Applied Mathematics 1 Journal of the Egyptian Mathematical Society 1 Filomat 1 Top 1 Journal of Convex Analysis 1 Opuscula Mathematica 1 Journal of Inequalities and Applications 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 The ANZIAM Journal 1 Applied Mathematics E-Notes 1 Journal of Applied Mathematics 1 Bulletin of Mathematical Sciences 1 Afrika Matematika 1 Axioms 1 Mathematical Sciences 1 Journal of Function Spaces 1 Advances in Operator Theory 1 Korean Journal of Mathematics 1 Mathematical Foundations of Computing all top 5 Cited in 25 Fields 57 Approximations and expansions (41-XX) 47 General topology (54-XX) 26 Operator theory (47-XX) 24 Functional analysis (46-XX) 17 Calculus of variations and optimal control; optimization (49-XX) 17 Operations research, mathematical programming (90-XX) 9 Numerical analysis (65-XX) 5 Real functions (26-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 5 Convex and discrete geometry (52-XX) 3 Sequences, series, summability (40-XX) 3 Computer science (68-XX) 2 Measure and integration (28-XX) 2 Integral equations (45-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Commutative algebra (13-XX) 1 Ordinary differential equations (34-XX) 1 Geometry (51-XX) 1 Differential geometry (53-XX) 1 Algebraic topology (55-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year