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Fixed point theorems for generalized set-contraction maps and their applications |
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| Authors: | A. Amini-Harandi M. Fakhar J. Zafarani |
| Affiliation: | a Department of Mathematics, University of Shahrekord, Shahrekord 88186-34141, Iran b Institute for studies in Theoretical Physics and Mathematics (IPM), Iran c Department of Mathematics, University of Isfahan, Isfahan, 81745-163, Iran d Department of Mathematics, Sheikhbahaee University and University of Isfahan, Isfahan, Iran |
| Abstract: | A new generalized set-valued contraction on topological spaces with respect to a measure of noncompactness is introduced. Two fixed point theorems for the KKM type maps which are either generalized set-contraction or condensing ones are given. Furthermore, applications of these results for existence of coincidence points and maximal elements are deduced. |
| Keywords: | primary, 47H10 secondary, 47H09 |
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