On a General Contractive Condition for Cyclic 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...

Some fixed point-type results for a class of extended cyclic self-mappings with a more general contractive condition

* Correspondence: manuel. [email protected] Instituto de Investigacion y Desarrollo de Procesos, Universidad del Pais Vasco, Campus of Leioa (Bizkaia), Aptdo. 644-Bilbao, 48080Bilbao, Spain Full list of author information is available at the end of the article Abstract This article discusses a more general contractive condition for a class of extended (p ≥ 2) -cyclic self-mappings on the union of ...

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

Fixed Point Theorems for Mappings Satisfying a General Contractive Condition of Integral Type

The aim of this paper is to prove a common fixed point theorem for variants of weak compatible maps in a complex valued metric space. As a consequence, we extend and generalize the theorem of Branciari [3] for 2812 a pair of weakly compatible mappings satisfying a general contractive condition of integral type in complex valued metric space. At last, we prove two results by using E.A. property ...

Some Fixed Point Theorems for Mappings Satisfying a General Multiplicative Contractive Condition of Integral Type

The objective of this manuscript is to study the existence and uniqueness of fixed points for general multiplicative contractive condition of integral type. Our work generalizes and extends some well known results of the literature.