Abstract and Applied Analysis
- Abstr. Appl. Anal.
- Volume 2013, Special Issue (2013), Article ID 183174, 14 pages.
On Best Proximity Point Theorems and Fixed Point Theorems for -Cyclic Hybrid Self-Mappings in Banach Spaces
This paper relies on the study of fixed points and best proximity points of a class of so-called generalized point-dependent -hybrid -cyclic self-mappings relative to a Bregman distance , associated with a Gâteaux differentiable proper strictly convex function in a smooth Banach space, where the real functions and quantify the point-to-point hybrid and nonexpansive (or contractive) characteristics of the Bregman distance for points associated with the iterations through the cyclic self-mapping. Weak convergence results to weak cluster points are obtained for certain average sequences constructed with the iterates of the cyclic hybrid self-mappings.
Abstr. Appl. Anal., Volume 2013, Special Issue (2013), Article ID 183174, 14 pages.
First available in Project Euclid: 26 February 2014
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De la Sen, M. On Best Proximity Point Theorems and Fixed Point Theorems for $p$ -Cyclic Hybrid Self-Mappings in Banach Spaces. Abstr. Appl. Anal. 2013, Special Issue (2013), Article ID 183174, 14 pages. doi:10.1155/2013/183174. https://projecteuclid.org/euclid.aaa/1393444397