Iterative approximation of fixed point for Φ-hemicontractive mapping without Lipschitz assumption

On Fixed Point Results for Hemicontractive-type Multi-valued Mapping, Finite Families of Split Equilibrium and Variational Inequality Problems

In this article, we introduced an iterative scheme for finding a common element of the set of fixed points of a multi-valued hemicontractive-type mapping, the set of common solutions of a finite family of split equilibrium problems and the set of common solutions of a finite family of variational inequality problems in real Hilbert spaces. Moreover, the sequence generated by the proposed algori...

Iterative algorithms for families of variational inequalities fixed points and equilibrium problems

Strong Convergence Theorem for Fixed Points of Nearly Uniformly L−Lipschitzian Asymptotically Generalized Φ-Hemicontractive Mappings

Let C be a nonempty convex subset of a real Banach space E in which the normalized duality map is norm-to-norm uniformly continuous on bounded subsets of E. Let T be a nearly uniformly L−Lipschitzian asymptotically generalized Φ-hemicontractive map in the intermediate sense. An iterative process of the Manntype is proved to converge strongly to the unique fixed point of T . Under this setting, ...

On the Monotone Mappings in CAT(0) Spaces

In this paper, we first introduce a monotone mapping and its resolvent in general metric spaces.Then, we give two new iterative methods  by combining the resolvent method with Halpern's iterative method and viscosity approximation method for  finding a fixed point of monotone mappings and a solution of variational inequalities. We prove convergence theorems of the proposed iterations  in ...

Fixed point theorem for non-self mappings and its applications in the modular ‎space

‎In this paper, based on [A. Razani, V. Rako$check{c}$evi$acute{c}$ and Z. Goodarzi, Nonself mappings in modular spaces and common fixed point theorems, Cent. Eur. J. Math. 2 (2010) 357-366.] a fixed point theorem for non-self contraction mapping $T$ in the modular space $X_rho$ is presented. Moreover, we study a new version of Krasnoseleskii's fixed point theorem for $S+T$, where $T$ is a cont...