The well-known Banach’s fixed point theorem asserts that if D = X, f is contractive and (X, d) is complete, then f has a unique fixed point in X. In nonlinear analysis, the study of fixed points of given mappings satisfying certain contractive conditions in various abstract spaces has been investigated deeply. The Banach contraction principle [1] is one of the initial and crucial results in thi...

The purpose of this paper is to present a common fixed point theorem for pair R-weakly commuting mappings defined on b-fuzzy metric spaces satisfying nonlinear contractive conditions Boyd-Wong type, obtained in D. W. Boyd, J. S. Wong: On contractions, Proc. Amer. Math. Soc. 20 (1969), 458-464.

In this paper we introduce some contractive conditions of Meir–Keeler type for two mappings, called f -MK -pair mappings and f -CJM-pair (from Ciric, Jachymski, and Matkowski) mappings, in the framework of regular cone metric spaces and we prove theorems which guarantee the existence and uniqueness of common fixed points. We give also a fixed point result for a multivalued mapping that satisfie...

Let K be a nonempty closed convex subset of a reflexive and strictly convex Banach space E with a uniformly Gâteaux differentiable norm, F {T h : h ≥ 0} a generalized asymptotically nonexpansive self-mapping semigroup of K, and f : K → K a fixed contractive mapping with contractive coefficient β ∈ 0, 1 . We prove that the following implicit and modified implicit viscosity iterative schemes {xn}...

Abstract We prove the existence and uniqueness of fixed points some generalized contractible operators defined on modular G -metric spaces also -continuity such operators. Furthermore, we that weakly compatible contractive in have a unique point. Our results extend, generalize, complement include several known as special cases.

In this paper, we investigate fixed point theorems for nonexpansive multifunctions relations, multimaps, set-valued mappings, or correspondences satisfying some asymptotic condition. This study has been the subject of numerous works 1–6 for an asymptotically contractive mapping. Our aim here is to obtain some generalization by using the notion of semiasymptotically contractive multimappings whi...

A set of np ≥2 -cyclic and either continuous or contractive self-mappings, with at least one of them being contractive, which are defined on a set of subsets of a Banach space, are considered to build a composed self-mapping of interest. The existence and uniqueness of fixed points and the existence of best proximity points, in the case that the subsets do not intersect, of such composed mappin...