Iterative Algorithm for Mappings Satisfying Bγ,μ Condition

Weak Convergence of Mann Iterative Algorithm for two Nonexpansive mappings

The mann fixed point algorithm play an importmant role in the approximation of fixed points of nonexpansive operators. In this paper, by considering new conditions, we prove the weak convergence of mann fixed point algorithm, for finding a common fixed point of two nonexpansive mappings in real Hilbert spaces. This results extend the privious results given by Kanzow and Shehu. Finally, we give ...

A Mean Ergodic Theorem For Asymptotically Quasi-Nonexpansive Affine Mappings in Banach Spaces Satisfying Opial's Condition

Fixed point theorem for mappings satisfying contractive condition of integral type on intuitionistic fuzzy metric space

In this paper, we shall establish some fixed point theorems for mappings with the contractive  condition of integrable type on complete intuitionistic fuzzy metric spaces $(X, M,N,*,lozenge)$. We also use Lebesgue-integrable mapping to obtain new results. Akram, Zafar, and Siddiqui introduced the notion of $A$-contraction mapping on metric space. In this paper by using the main idea of the work...

Conformally Geodesic Mappings Satisfying a Certain Initial Condition

In this paper we study conformally geodesic mappings between pseudo-Riemannian manifolds (M, g) and (M̄, ḡ), i.e. mappings f : M → M̄ satisfying f = f1 ◦ f2 ◦ f3, where f1, f3 are conformal mappings and f2 is a geodesic mapping. Suppose that the initial condition f∗ḡ = kg is satisfied at a point x0 ∈ M and that at this point the conformal Weyl tensor does not vanish. We prove that then f is neces...

Iterative Process for an α- Nonexpansive Mapping and a Mapping Satisfying Condition(C) in a Convex Metric Space

We construct one-step iterative process for an α- nonexpansive mapping and a mapping satisfying condition (C) in the framework of a convex metric space. We study △-convergence and strong convergence of the iterative process to the common fixed point of the mappings. Our results are new and are valid in hyperbolic spaces, CAT(0) spaces, Banach spaces and Hilbert spaces, simultaneously.