Nan-jing Huang (1999)
Czechoslovak Mathematical Journal
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In this paper, we introduce and study a new class of completely generalized nonlinear variational inclusions for fuzzy mappings and construct some new iterative algorithms. We prove the existence of solutions for this kind of completely generalized nonlinear variational inclusions and the convergence of iterative sequences generated by the algorithms.
Chang, S.S., O'Regan, D., Kim, J.K. (2006)
Journal of Inequalities and Applications [electronic only]
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Peng, Jian-Wen, Yang, Xin-Min (2006)
Journal of Inequalities and Applications [electronic only]
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Kumam, Poom, Petrot, Narin (2009)
Journal of Inequalities and Applications [electronic only]
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Plubtieng, Somyot, Sombut, Kamonrat (2010)
Journal of Inequalities and Applications [electronic only]
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Carbone, Antonio (1998)
International Journal of Mathematics and Mathematical Sciences
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Fulina, Silvia (2006)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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P. Balasubramaniam, S. Murali Sankar (2001)
Kybernetika
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The main purpose of this paper is to introduce the concept of -type fuzzy topological spaces. Further variational principle and Caristi’s fixed point theorem have been extended in the -type fuzzy topological spaces.
Park, Sehie, Chen, Ming-Po (1998)
Journal of Inequalities and Applications [electronic only]
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Beg, Ismat (2001)
Journal of Applied Mathematics and Stochastic Analysis
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Naser Abbasi, Hamid Mottaghi Golshan (2016)
Kybernetika
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In this article, we extend Caristi's fixed point theorem, Ekeland's variational principle and Takahashi's maximization theorem to fuzzy metric spaces in the sense of George and Veeramani [A. George , P. Veeramani, On some results in fuzzy metric spaces, Fuzzy Sets and Systems. 64 (1994) 395-399]. Further, a direct simple proof of the equivalences among these theorems is provided.