Common fixed points and endpoints of multi-valued generalized weak contraction mappings
Congdian Cheng
TL;DR
This paper investigates the existence of common fixed points and endpoints for dual multi-valued weak contraction mappings in complete metric spaces, extending previous fixed point theorems.
Contribution
It introduces new results on common fixed points and endpoints for dual multi-valued weak contractions, improving upon prior theorems in the field.
Findings
Extended fixed point results for dual multi-valued weak contractions.
Improved conditions for the existence of common fixed points.
Generalized theorems that encompass previous results.
Abstract
Let (X, d) be a complete metric space, and let S, T : X to CB(X) be a duality of multi-valued generalized weak contraction mappings or a duality of generalized weak contraction mappings. We discuss the common fixed points and endpoints of the two kinds of multi-valued weak mappings. Our results extend and improve some results given by Daffer and Kaneko (1995), Rouhani and Moradi (2010), and Moradi and Khojasteh (2011).
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Taxonomy
TopicsFixed Point Theorems Analysis · Optimization and Variational Analysis · Nonlinear Differential Equations Analysis