Zhang, Chuang-liang; Huang, Nan-jing On Ekeland’s variational principle for interval-valued functions with applications. (English) Zbl 1522.26034 Fuzzy Sets Syst. 436, 152-174 (2022). MSC: 26E50 49J53 PDFBibTeX XMLCite \textit{C.-l. Zhang} and \textit{N.-j. Huang}, Fuzzy Sets Syst. 436, 152--174 (2022; Zbl 1522.26034) Full Text: DOI arXiv
Peyvand, Morad-Ali On relation between two-criteria user-optimized route choice problem and vector variational inequality problem in fuzzy environment. (English) Zbl 1496.90021 Casp. J. Math. Sci. 11, No. 1, 334-344 (2022). MSC: 90B20 90B06 90B50 PDFBibTeX XMLCite \textit{M.-A. Peyvand}, Casp. J. Math. Sci. 11, No. 1, 334--344 (2022; Zbl 1496.90021) Full Text: DOI
Wu, Jian Rong; Tang, Xiao Caristi’s fixed point theorem, Ekeland’s variational principle and Takahashi’s maximization theorem in fuzzy quasi-metric spaces. (English) Zbl 1475.54035 Topology Appl. 302, Article ID 107801, 11 p. (2021). MSC: 54H25 54E50 54A40 PDFBibTeX XMLCite \textit{J. R. Wu} and \textit{X. Tang}, Topology Appl. 302, Article ID 107801, 11 p. (2021; Zbl 1475.54035) Full Text: DOI
Roul, Jotindra Nath; Maity, Kalipada; Kar, Samarjit; Maiti, Manoranjan Multi-item optimal control problem with fuzzy costs and constraints using fuzzy variational principle. (English) Zbl 1428.49006 RAIRO, Oper. Res. 53, No. 3, 1061-1082 (2019). MSC: 49J15 49J30 90B30 93C42 PDFBibTeX XMLCite \textit{J. N. Roul} et al., RAIRO, Oper. Res. 53, No. 3, 1061--1082 (2019; Zbl 1428.49006) Full Text: DOI
Soolaki, Javad; Fard, O. S.; Borzabadi, Akbar Hashemi A necessary condition of Pontryagin type for fuzzy control systems. (English) Zbl 1396.93085 Comput. Appl. Math. 37, No. 2, 1263-1278 (2018). MSC: 93C42 34N05 93D05 93C20 PDFBibTeX XMLCite \textit{J. Soolaki} et al., Comput. Appl. Math. 37, No. 2, 1263--1278 (2018; Zbl 1396.93085) Full Text: DOI arXiv
Roul, J. N.; Maity, K.; Kar, S.; Maiti, M. Optimal control problem for an imperfect production process using fuzzy variational principle. (English) Zbl 1366.93317 J. Intell. Fuzzy Syst. 32, No. 1, 565-577 (2017). MSC: 93C42 PDFBibTeX XMLCite \textit{J. N. Roul} et al., J. Intell. Fuzzy Syst. 32, No. 1, 565--577 (2017; Zbl 1366.93317) Full Text: DOI
Qiu, Jing-Hui; He, Fei Set-valued pseudo-metric families and Ekeland’s variational principles in fuzzy metric spaces. (English) Zbl 1378.54014 Fuzzy Sets Syst. 300, 1-23 (2016). MSC: 54A40 54E35 49J53 PDFBibTeX XMLCite \textit{J.-H. Qiu} and \textit{F. He}, Fuzzy Sets Syst. 300, 1--23 (2016; Zbl 1378.54014) Full Text: DOI
Abbasi, Naser; Golshan, Hamid Mottaghi Caristi’s fixed point theorem and its equivalences in fuzzy metric spaces. (English) Zbl 1389.54074 Kybernetika 52, No. 6, 929-942 (2016). MSC: 54H25 54A40 54E40 PDFBibTeX XMLCite \textit{N. Abbasi} and \textit{H. M. Golshan}, Kybernetika 52, No. 6, 929--942 (2016; Zbl 1389.54074) Full Text: DOI Link
Fabian, Marián; Ioffe, Alexander Separable reductions and rich families in the theory of Fréchet subdifferentials. (English) Zbl 1350.49012 J. Convex Anal. 23, No. 3, 631-648 (2016). Reviewer: Stefan Cobzaş (Cluj-Napoca) MSC: 49J52 49J50 46B20 46B26 49J53 46N10 58C20 PDFBibTeX XMLCite \textit{M. Fabian} and \textit{A. Ioffe}, J. Convex Anal. 23, No. 3, 631--648 (2016; Zbl 1350.49012) Full Text: Link
Rao, Ruofeng; Zhong, Shouming Existence of exponential \(p\)-stability nonconstant equilibrium of Markovian jumping nonlinear diffusion equations via Ekeland variational principle. (English) Zbl 1336.93174 Adv. Math. Phys. 2015, Article ID 812150, 10 p. (2015). MSC: 93E20 60J75 93C42 35Q93 93C20 PDFBibTeX XMLCite \textit{R. Rao} and \textit{S. Zhong}, Adv. Math. Phys. 2015, Article ID 812150, 10 p. (2015; Zbl 1336.93174) Full Text: DOI
Cánovas, Jose S.; Kupka, Jiří On the topological entropy on the space of fuzzy numbers. (English) Zbl 1337.37016 Fuzzy Sets Syst. 257, 132-145 (2014). MSC: 37B40 26E50 37A35 PDFBibTeX XMLCite \textit{J. S. Cánovas} and \textit{J. Kupka}, Fuzzy Sets Syst. 257, 132--145 (2014; Zbl 1337.37016) Full Text: DOI
Qiu, Jing-Hui Set-valued Ekeland variational principles in fuzzy metric spaces. (English) Zbl 1315.49007 Fuzzy Sets Syst. 245, 43-62 (2014). MSC: 49J53 54A40 54E35 54H25 PDFBibTeX XMLCite \textit{J.-H. Qiu}, Fuzzy Sets Syst. 245, 43--62 (2014; Zbl 1315.49007) Full Text: DOI
Beg, Ismat On fuzzy order relations. (English) Zbl 1304.46071 J. Nonlinear Sci. Appl. 5, No. 5, 357-378 (2012). MSC: 46S40 03E72 47S40 06A06 PDFBibTeX XMLCite \textit{I. Beg}, J. Nonlinear Sci. Appl. 5, No. 5, 357--378 (2012; Zbl 1304.46071) Full Text: DOI Link
Wang, Bingwu; Wang, Dong On the fuzzy intersection rule. (English) Zbl 1236.49075 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 3, 1623-1634 (2012). MSC: 49M30 49J52 93C42 PDFBibTeX XMLCite \textit{B. Wang} and \textit{D. Wang}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 3, 1623--1634 (2012; Zbl 1236.49075) Full Text: DOI
Kruger, A. Ya. On Fréchet subdifferentials. (English. Russian original) Zbl 1039.49021 J. Math. Sci., New York 116, No. 3, 3325-3358 (2003). Reviewer: Jörg Thierfelder (Ilmenau) MSC: 49J52 49J50 49J53 49-02 46G05 58C20 PDFBibTeX XMLCite \textit{A. Ya. Kruger}, J. Math. Sci., New York 116, No. 3, 3325--3358 (2003; Zbl 1039.49021) Full Text: DOI
Jung, Jong Soo On generalized Ekeland type variational principles in certain topological spaces. (English) Zbl 1039.49023 Nonlinear Funct. Anal. Appl. 8, No. 1, 73-92 (2003). MSC: 49J53 49J40 47J20 54A40 54E70 PDFBibTeX XMLCite \textit{J. S. Jung}, Nonlinear Funct. Anal. Appl. 8, No. 1, 73--92 (2003; Zbl 1039.49023)
Beg, Ismat Fuzzy ordering and completeness of fuzzy metric spaces. (English) Zbl 1029.54007 J. Fuzzy Math. 10, No. 4, 789-795 (2002). Reviewer: Dexue Zhang (Chengdu) MSC: 54A40 54H25 PDFBibTeX XMLCite \textit{I. Beg}, J. Fuzzy Math. 10, No. 4, 789--795 (2002; Zbl 1029.54007)
Yang, L. F.; Li, Q. S.; Leung, A. Y. T.; Zhao, Y. L.; Li, G. Q. Fuzzy variational principle and its applications. (English) Zbl 1027.74043 Eur. J. Mech., A, Solids 21, No. 6, 999-1018 (2002). MSC: 74K99 74S05 74S30 PDFBibTeX XMLCite \textit{L. F. Yang} et al., Eur. J. Mech., A, Solids 21, No. 6, 999--1018 (2002; Zbl 1027.74043) Full Text: DOI
Balasubramaniam, P.; Sankar, S. Murali The variational principle of fixed point theorems in certain fuzzy topological spaces. (English) Zbl 1265.54034 Kybernetika 37, No. 2, 147-158 (2001). MSC: 54A40 54H25 PDFBibTeX XMLCite \textit{P. Balasubramaniam} and \textit{S. M. Sankar}, Kybernetika 37, No. 2, 147--158 (2001; Zbl 1265.54034) Full Text: EuDML Link
Pathak, H. K.; Mishra, S. N. Some results related to Caristi’s fixed point theorem and Ekeland’s variational principle. (English) Zbl 1025.47036 Demonstr. Math. 34, No. 4, 859-872 (2001). Reviewer: Nicoleta Negoescu (Iaşi) MSC: 47H10 54H25 47S40 54A40 PDFBibTeX XMLCite \textit{H. K. Pathak} and \textit{S. N. Mishra}, Demonstr. Math. 34, No. 4, 859--872 (2001; Zbl 1025.47036) Full Text: DOI
Mordukhovich, Boris S. The extremal principle and its applications to optimization and economics. (English) Zbl 1010.49014 Rubinov, Alexander (ed.) et al., Optimization and related topics. Selected papers of the 6th Australian optimization day miniconference, Ballarat, Australia, July 16, 1999, and the special sessions on nonlinear dynamics and optimization and operations research - methods and applications, Melbourne, Australia, July 11-15, 1999 (part of the joint meeting of the American Mathematical Society and Australian Mathematical Society). Dordrecht: Kluwer Academic Publishers. Appl. Optim. 47, 343-369 (2001). Reviewer: W.Schirotzek (Dresden) MSC: 49J52 90C48 91B50 PDFBibTeX XMLCite \textit{B. S. Mordukhovich}, Appl. Optim. 47, 343--369 (2001; Zbl 1010.49014)
Zhu, Jiang; Zhong, Cheng-Kui; Wang, Ge-Ping Vector-valued variational principle in fuzzy metric space and its applications. (English) Zbl 0987.49006 Fuzzy Sets Syst. 119, No. 2, 343-354 (2001). Reviewer: Nan-Jing Huang (Chengdu) MSC: 49J40 54H25 46N10 54A40 PDFBibTeX XMLCite \textit{J. Zhu} et al., Fuzzy Sets Syst. 119, No. 2, 343--354 (2001; Zbl 0987.49006) Full Text: DOI
Aslam Noor, Muhammad; Rassias, Themistocles M. General strongly nonlinear variational inequalities for fuzzy operators. (English) Zbl 0987.49005 Rassias, Themistocles M. (ed.), Mathematical analysis and applications. Palm Harbour, FL: Hadronic Press. 197-221 (2000). Reviewer: Nan-Jing Huang (Chengdu) MSC: 49J40 47S40 PDFBibTeX XMLCite \textit{M. Aslam Noor} and \textit{T. M. Rassias}, in: Mathematical analysis and applications. Palm Harbour, FL: Hadronic Press. 197--221 (2000; Zbl 0987.49005)
Noor, Muhammad Aslam Variational inequalities for fuzzy mappings. III. (English) Zbl 0940.49011 Fuzzy Sets Syst. 110, No. 1, 101-108 (2000). MSC: 49J40 PDFBibTeX XMLCite \textit{M. A. Noor}, Fuzzy Sets Syst. 110, No. 1, 101--108 (2000; Zbl 0940.49011) Full Text: DOI
Noor, Muhammad Aslam Variational inequalities for fuzzy mappings. IV. (English) Zbl 0955.49008 J. Nat. Geom. 17, No. 1-2, 29-58 (2000). MSC: 49J40 47S40 47J20 90C33 PDFBibTeX XMLCite \textit{M. A. Noor}, J. Nat. Geom. 17, No. 1--2, 29--58 (2000; Zbl 0955.49008)
Zhu, Jiang; Zhong, Cheng-kui; Wang, Ge-ping An extension of Ekeland’s variational principle in fuzzy metric space and its applications. (English) Zbl 0946.49017 Fuzzy Sets Syst. 108, No. 3, 353-363 (1999). Reviewer: Constantin Zălinescu (Iaşi) MSC: 49K27 54A40 54H25 PDFBibTeX XMLCite \textit{J. Zhu} et al., Fuzzy Sets Syst. 108, No. 3, 353--363 (1999; Zbl 0946.49017) Full Text: DOI
Ding, Xie Ping Algorithm of solutions for mixed implicit quasi-variational inequalities with fuzzy mappings. (English) Zbl 0938.49009 Comput. Math. Appl. 38, No. 5-6, 231-241 (1999). MSC: 49J40 47J20 47S40 47N10 90C70 PDFBibTeX XMLCite \textit{X. P. Ding}, Comput. Math. Appl. 38, No. 5--6, 231--241 (1999; Zbl 0938.49009) Full Text: DOI
Ding, Xie Ping; Luo, Chun Lin Existence and algorithm for solving some generalized mixed variational inequalities. (English) Zbl 0938.49007 Comput. Math. Appl. 37, No. 3, 23-30 (1999). MSC: 49J40 47J20 90C33 47N10 47S40 PDFBibTeX XMLCite \textit{X. P. Ding} and \textit{C. L. Luo}, Comput. Math. Appl. 37, No. 3, 23--30 (1999; Zbl 0938.49007) Full Text: DOI
Yang, Lufeng; Li, Guiqing Fuzzy stochastic variable and variational principle. (English) Zbl 0957.74080 Appl. Math. Mech., Engl. Ed. 20, No. 7, 795-800 (1999). MSC: 74S30 74K99 49S05 PDFBibTeX XMLCite \textit{L. Yang} and \textit{G. Li}, Appl. Math. Mech., Engl. Ed. 20, No. 7, 795--800 (1999; Zbl 0957.74080) Full Text: DOI
Lee, Gue Myung; Lee, Byung Soo; Jung, Jong Soo; Chang, Shih-sen Minimization theorems and fixed point theorems in generating spaces of quasi-metric family. (English) Zbl 0986.54015 Fuzzy Sets Syst. 101, No. 1, 143-152 (1999). MSC: 54A40 54H25 PDFBibTeX XMLCite \textit{G. M. Lee} et al., Fuzzy Sets Syst. 101, No. 1, 143--152 (1999; Zbl 0986.54015) Full Text: DOI
Jung, J. S.; Chang, S. S.; Cho, Y. J.; Lee, B. S.; Kang, S. M. Common fixed point theorems and variational principle in generating spaces of quasi-metric family. (English) Zbl 0986.54016 Fuzzy Sets Syst. 102, No. 2, 315-325 (1999). MSC: 54A40 54H25 54C60 58E35 49J40 PDFBibTeX XMLCite \textit{J. S. Jung} et al., Fuzzy Sets Syst. 102, No. 2, 315--325 (1999; Zbl 0986.54016) Full Text: DOI
Noor, Muhammad Aslam Variational inequalities for fuzzy mappings. II. (English) Zbl 0928.49012 Fuzzy Sets Syst. 97, No. 1, 101-107 (1998). MSC: 49J40 PDFBibTeX XMLCite \textit{M. A. Noor}, Fuzzy Sets Syst. 97, No. 1, 101--107 (1998; Zbl 0928.49012) Full Text: DOI
Fang, Jinxuan On the variational principle and fixed point theorem in fuzzy metric spaces. (English) Zbl 0901.54006 J. Fuzzy Math. 6, No. 2, 363-372 (1998). Reviewer: O.Kaleva (Tampere) MSC: 54A40 54H25 54E70 PDFBibTeX XMLCite \textit{J. Fang}, J. Fuzzy Math. 6, No. 2, 363--372 (1998; Zbl 0901.54006)
Zhang, Shisheng; Yuan, Jiawei General versions of coincidence point theorems and variational principle. (Chinese. English summary) Zbl 0902.54035 Acta Math. Sin. 40, No. 4, 565-572 (1997). MSC: 54H25 54A40 54C60 PDFBibTeX XMLCite \textit{S. Zhang} and \textit{J. Yuan}, Acta Math. Sin. 40, No. 4, 565--572 (1997; Zbl 0902.54035)
Hadžić, O. A variational principle in fuzzy metric spaces. (English) Zbl 0897.54003 Bull., Cl. Sci. Math. Nat., Sci. Math. 111, No. 21, 73-84 (1996). Reviewer: Mila Stojaković (Novi Sad) MSC: 54A40 54H25 PDFBibTeX XMLCite \textit{O. Hadžić}, Bull., Cl. Sci. Math. Nat., Sci. Math. 111, No. 21, 73--84 (1996; Zbl 0897.54003)
Jung, Jong Soo; Cho, Yeol Je; Kang, Shin Min; Chang, Shih-sen Coincidence theorems for set-valued mappings and Ekeland’s variational principle in fuzzy metric spaces. (English) Zbl 0867.54018 Fuzzy Sets Syst. 79, No. 2, 239-250 (1996). MSC: 54A40 54H25 PDFBibTeX XMLCite \textit{J. S. Jung} et al., Fuzzy Sets Syst. 79, No. 2, 239--250 (1996; Zbl 0867.54018) Full Text: DOI
Hadžić, Olga Fixed point theory in probabilistic metric spaces. (English) Zbl 0883.47070 Novi Sad: Serbian Academy of Science and Arts. Novi Sad: University of Novi Sad, Inst. of Mathematics, 129 p. (1995). Reviewer: S.L.Singh (Rishikesh) MSC: 47H10 47-02 54H25 47H09 47S40 47S50 54A40 54C60 54E70 PDFBibTeX XMLCite \textit{O. Hadžić}, Fixed point theory in probabilistic metric spaces. Novi Sad: Serbian Academy of Science and Arts; Novi Sad: University of Novi Sad, Inst. of Mathematics (1995; Zbl 0883.47070)
Stojaković, Mila; Ovcin, Zoran Fixed point theorems and variational principle in fuzzy metric space. (English) Zbl 0842.54020 Fuzzy Sets Syst. 66, No. 3, 353-356 (1994). MSC: 54A40 54H25 PDFBibTeX XMLCite \textit{M. Stojaković} and \textit{Z. Ovcin}, Fuzzy Sets Syst. 66, No. 3, 353--356 (1994; Zbl 0842.54020) Full Text: DOI
Chang, Shihsen; Luo, Qun Caristi’s fixed point theorem for fuzzy mappings and Ekeland’s variational principle. (English) Zbl 0842.54041 Fuzzy Sets Syst. 64, No. 1, 119-125 (1994). MSC: 54H25 54A40 47H10 PDFBibTeX XMLCite \textit{S. Chang} and \textit{Q. Luo}, Fuzzy Sets Syst. 64, No. 1, 119--125 (1994; Zbl 0842.54041) Full Text: DOI
Jung, Jong Soo; Cho, Yeol Je; Kim, Jong Kyu Minimization theorems for fixed point theorems in fuzzy metric spaces and applications. (English) Zbl 0845.54004 Fuzzy Sets Syst. 61, No. 2, 199-207 (1994). Reviewer: O.Kaleva (Tampere) MSC: 54A40 PDFBibTeX XMLCite \textit{J. S. Jung} et al., Fuzzy Sets Syst. 61, No. 2, 199--207 (1994; Zbl 0845.54004) Full Text: DOI
Kawohl, Bernd On the shape of solutions to some variational problems. (English) Zbl 0841.49022 Krbec, Miroslav (ed.) et al., Nonlinear analysis, function spaces and applications. Vol. 5. Proceedings of the spring school held in Prague, May 23-28, 1994. Prague: Prometheus Publishing House. 77-102 (1994). Reviewer: G.Buttazzo (Pisa) MSC: 49Q10 49J40 49J45 74P99 74G50 PDFBibTeX XMLCite \textit{B. Kawohl}, in: Nonlinear analysis, function spaces and applications. Vol. 5. Proceedings of the spring school held in Prague, May 23-28, 1994. Prague: Prometheus Publishing House. 77--102 (1994; Zbl 0841.49022) Full Text: EuDML
Hadžić, Olga; Ovcin, Zoran Fixed point theorems in fuzzy metric and probabilistic metric space. (English) Zbl 0897.54005 Zb. Rad., Prir.-Mat. Fak., Univ. Novom Sadu, Ser. Mat. 24, No. 2, 197-200 (1994). Reviewer: Mila Stojaković (Novi Sad) MSC: 54A40 54H25 PDFBibTeX XMLCite \textit{O. Hadžić} and \textit{Z. Ovcin}, Zb. Rad., Prir.-Mat. Fak., Univ. Novom Sadu, Ser. Mat. 24, No. 2, 197--200 (1994; Zbl 0897.54005)
He, Peijun The variational principle in fuzzy metric spaces and its applications. (English) Zbl 0754.54005 Fuzzy Sets Syst. 45, No. 3, 389-394 (1992). MSC: 54A40 54E70 54H25 PDFBibTeX XMLCite \textit{P. He}, Fuzzy Sets Syst. 45, No. 3, 389--394 (1992; Zbl 0754.54005) Full Text: DOI