Connecting various types of cyclic contractions and contractive self-mappings with Hardy-Rogers self-mappings

Linking Contractive Self-Mappings and Cyclic Meir-Keeler Contractions with Kannan Self-Mappings

On a General Contractive Condition for Cyclic Self-Mappings

This paper is concerned with p ≥ 2 -cyclic self-mappings T : ⋃i∈p Ai → ⋃ i∈p Ai in a metric space X, d , with Ai ⊂ X, T Ai ⊆ Ai 1 for i 1, 2, . . . , p, under a general contractive condition which includes as particular cases several of the existing ones in the literature. The existence and uniqueness of fixed points and best proximity points is discussed as well as the convergence to them of t...

Fixed Point of T-Hardy-Rogers Contractive Mappings in Partially Ordered Partial Metric Spaces

Copyright q 2012 Mujahid Abbas et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. We prove some fixed point theorems for a T-Hardy-Rogers contraction in the setting of partially ordered partial metric spaces. We apply our resu...

Fixed and Best Proximity Points of Cyclic Jointly Accretive and Contractive Self-Mappings

p ≥2 -cyclic and contractive self-mappings on a set of subsets of a metric space which are simultaneously accretive on the wholemetric space are investigated. The joint fulfilment of the p-cyclic contractiveness and accretive properties is formulated as well as potential relationships with cyclic self-mappings in order to be Kannan self-mappings. The existence and uniqueness of best proximity p...

A Fixed Point Theorem for Contractive Non-self Mappings

We establish a fixed point theorem for certain non-self mappings of contractive type which take a nonempty and closed subset of a complete metric space X into X.