Fixed Point Theory for the a-Admissible Meir-Keeler- Type Set Contractions Having KKM∗ Property on Almost Convex Sets

Authors

C.-M. Chen, Department of Applied Mathematics, National Hsinchu University of Education, TaiwanFollow
A. Abkar, Department of Mathematics, Imam Khomeini International University, Qazvin 34149, IranFollow
S. Ghods, Department of Mathematics, Imam Khomeini International University, Qazvin 34149, IranFollow
E. Karapınar, Department of Mathematics, Atilim University, 06836, \.Incek, Ankara, Turkey \\ Nonlinear Analysis and Applied Mathematics Research Group (NAAM), King Abdulaziz University, 21589, Jeddah, Saudi Arabia.Follow

Author Country (or Countries)

Saudi Arabia.

Abstract

The purpose of this paper is to study fixed points for the KKM∗ family satisfying the a-admissible Meir-Keeler-type set contractions with respect to the set measure sp of noncompactness in the context of Hausdorff topological vector spaces. Our results generalize or improve many recent fixed point theorems for the KKM family in the literature.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/110120

Recommended Citation

Chen, C.-M.; Abkar, A.; Ghods, S.; and Karapınar, E. (2017) "Fixed Point Theory for the a-Admissible Meir-Keeler- Type Set Contractions Having KKM∗ Property on Almost Convex Sets," Applied Mathematics & Information Sciences: Vol. 11: Iss. 1, Article 20.
DOI: http://dx.doi.org/10.18576/amis/110120
Available at: https://digitalcommons.aaru.edu.jo/amis/vol11/iss1/20