On Monotone Ćirić Quasi–contraction Mappings
نویسندگان
چکیده
We prove the existence of fixed points of monotone quasi-contraction mappings in metric and modular metric spaces. This is the extension of Ran and Reurings fixed point theorem for monotone contraction mappings in partially ordered metric spaces to the case of quasicontraction mappings introduced by Ćirić. The proofs are based on Lemmas ?? and ??, which contain two crucial inequalities essential to obtain the main results. Mathematics subject classification (2010): Primary 47H09; Secondary 47H10.
منابع مشابه
Common fixed points of Ćirić-type contractive mappings in two ordered generalized metric spaces
*Correspondence: [email protected] 1Department of Mathematics, Lahore University of Management Sciences, Lahore, 54792, Pakistan 2Department of Mathematics Education and the RINS, Gyeongsang National University, Jinju, 660-701, Korea Abstract In this paper, using the setting of two ordered generalized metric spaces, a unique common fixed point of four mappings satisfying a generalized contracti...
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