Fixed Point Theory and Applications
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Open Access journal
ISSN (Print) 1687-1820 - ISSN (Online) 1687-1812
Published by SpringerOpen [188 journals]
- Generalized α-nonexpansive mappings in Banach spaces
Authors: Rahul Shukla; Rajendra Pant Manuel De la Sen
Abstract: We consider a new type of monotone nonexpansive mappings in an ordered Banach space X with partial order ⪯. This new class of nonlinear mappings properly contains nonexpansive, firmly-nonexpansive and Suzuki-type...
- Pseudo-metric space and fixed point theorem
Authors: Samih Lazaiz; Karim Chaira, Mohamed Aamri El Miloudi Marhrani
Abstract: The aim of this paper is to give a generalized version of Caristi fixed point theorems in pseudo-metric spaces. Our results generalize and improve many of well-known theorems. As an application of our results,...
- Common coupled fixed point results for operators without mixed monotone
type properties and application to nonlinear integral equations
Authors: Nabil Machrafi
Abstract: We establish some new common coupled fixed point theorems for a pair of operators not assumed to satisfy mixed monotone type properties in the ordered Banach space setting. For that purpose, the notions of wea...
- Some extensions of the Meir-Keeler theorem
Authors: Lech Pasicki
Abstract: Meir and Keeler formulated their fixed point theorem for contractive mappings with purely metric condition. This idea was extended by numerous mathematicians. In this paper, we present a simple method of provi...
- Strong and weak convergence theorems for split equality generalized mixed
Authors: Ibrahim Karahan
Abstract: In this paper, we consider split equality generalized mixed equilibrium problem, which is more general than many problems such as split feasibility problem, split equality problem, split equilibrium problem, a...