Coincidence point theorems in certain topological spaces
Jong Soo Jung; Yeol Je Cho; Shin Min Kang; Yong Kab Choi; Byung Soo Lee
Discussiones Mathematicae, Differential Inclusions, Control and Optimization (1999)
- Volume: 19, Issue: 1-2, page 85-101
- ISSN: 1509-9407
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top- [1] J.S. Bae, E.W. Cho and S.H. Yeom, A generalization of the Caristi-Kirk fixed point theorem and its applications to mapping theorems, J. Korean Math. Soc. 31 (1994), 29-48. Zbl0842.47035
- [2] H. Brézis and F.F. Browder, A general principle on ordered sets in nonlinear functional analysis, Advance in Math. 21 (1976), 355-364. Zbl0339.47030
- [3] J. Caristi, Fixed point theorems for mapping satisfying inwardness conditions, Trans. Amer. Math. Soc. 215 (1976), 241-251. Zbl0305.47029
- [4] S.S. Chang and Q. Luo, Set-valued Caristi's fixed point theorem and Ekeland's variational principle, Appl. Math. and Mech. 10 (1989), 119-121. Zbl0738.49009
- [5] S.S. Chang, Y.Q. Chen and J.L. Guo, Ekeland's variational principle and Caristi's fixed point theorem in probabilistic metric spaces, Acta Math. Appl. 7 (1991), 217-228. Zbl0743.54017
- [6] S.S. Chang, Y.J. Cho, B.S. Lee, J.S. Jung and S.M. Kang, Coincidence point theorems and minimization theorems in fuzzy metric spaces, Fuzzy Sets and Systems 88 (1997), 119-127. Zbl0912.54013
- [7] D. Downing and W.A. Kirk, A generalization of Caristi's theorem with applications to nonlinear mapping theory, Pacific J. Math. 69 (1977), 339-346. Zbl0357.47036
- [8] J.X. Fang, On the generalizations of Ekeland's variational principle and Caristi's fixed point theorem, The 6-th National Conference on the Fixed Point Theory, Variational Inequalities and Probabilistic Metric Spaces Theory, 1993, Qingdao, China.
- [9] J.X. Fang, The variational principle and fixed point theorems in certain topological spaces, J. Math. Anal. Appl. 202 (1996), 398-412.
- [10] P.J. He, The variational principle in fuzzy metric spaces and its applications, Fuzzy Sets and Systems 45 (1992), 389-394. Zbl0754.54005
- [11] J.S. Jung, Y.J. Cho and J.K. Kim, Minimization theorems for fixed point theorems in fuzzy metric spaces and applications, Fuzzy Sets and Systems 61 (1994), 199-207. Zbl0845.54004
- [12] J.S. Jung, Y.J. Cho, S.M. Kang and S.S. Chang, Coincidence theorems for set-valued mappings and Ekelands's variational principle in fuzzy metric spaces, Fuzzy Sets and Systems 79 (1996), 239-250. Zbl0867.54018
- [13] J.S. Jung, Y.J. Cho, S.M. Kang, B.S. Lee and Y.K. Choi, Coincidence point theorems in generating spaces of quasi-metric family, to appear in Fuzzy Sets and Systems. Zbl0982.54035
- [14] O. Kaleva and S. Seikkala, On fuzzy metric spaces, Fuzzy Sets and Systems 12 (1984), 215-229. Zbl0558.54003
- [15] N. Mizoguchi and W. Takahashi, Fixed point theorems for multivalued mappings on complete metric spaces, J. Math. Anal. Appl. 141 (1989), 177-188. Zbl0688.54028
- [16] S. Park, On extensions of Caristi-Kirk fixed point theorem, J. Korean Math. Soc. 19 (1983), 143-151. Zbl0526.54032
- [17] B. Schweizer and A. Sklar, Statistical metric spaces, Pacific J. Math. 10 (1960), 313-334.
- [18] J. Siegel, A new proof of Caristi's fixed point theorem, Proc. Amer. Math. Soc. 66 (1977), 54-56. Zbl0369.54022