%0 Journal Article
%T Simultaneous generalizations of known fixed point theorems for a Meir-Keeler type condition with applications
%J International Journal of Nonlinear Analysis and Applications
%I Semnan University
%Z 2008-6822
%A Du, Wei-Shih
%A Rassias, Th.M.
%D 2020
%\ 04/01/2020
%V 11
%N 1
%P 55-66
%! Simultaneous generalizations of known fixed point theorems for a Meir-Keeler type condition with applications
%K Simultaneous generalization
%K Banach's type contraction
%K Kannan's type contraction
%K Chatterjea's type contraction
%K Meir-Keeler's type contraction
%K Banach contraction principle
%K Kannan's fixed point theorem
%K Chatterjea's fixed point theorem
%K Meir-Keeler's fixed point theorem
%R 10.22075/ijnaa.2019.3676
%X In this paper, we first establish a new fixed point theorem for a Meir-Keeler type condition. As an application, we derive a simultaneous generalization of Banach contraction principle, Kannan's fixed point theorem, Chatterjea's fixed point theorem and other fixed point theorems. Some new fixed point theorems are also obtained.
%U https://ijnaa.semnan.ac.ir/article_3676_b91dea69c26fa0f82cc3fb0763ea5e0d.pdf