Khan, Abdul Rahim Oyetunbi, Dolapo Muhammed
Published in
Journal of Fixed Point Theory and Applications

In this paper, we extend and complement main result of Górnicki [J. Fixed Point Theory Appl. 22:8, 2020] and Bisht[ J. Fixed Point Theory Appl. 21:54, 2019] for a pair of asymptotically regular mappings. Our work improves some other comparable results existing in the literature.

Altun, Ishak Olgun, Murat
Published in
Journal of Fixed Point Theory and Applications

In the present paper, we introduce the concept of F-contraction on vector-valued metric space. Then, we achieved a fixed point result that includes the famous Perov fixed point theorem as properly. We provided a nontrivial and illustrative example showing this fact. Finally, we give an existence result for semilinear operator system in a Banach spa...

Xin, Yun Yao, Shaowen
Published in
Journal of Fixed Point Theory and Applications

In this paper, we investigate the existence of a positive periodic solution for the following p-Laplacian generalized Rayleigh equation with a singularity: (ϕp(x′(t)))′+f(t,x′(t))+g(x(t))=e(t),\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} ...

Barreira, Luis Valls, Claudia
Published in
Journal of Fixed Point Theory and Applications

Using nonlinear evolution semigroups, we construct center-stable, center-unstable and center invariant manifolds for a nonautonomous dynamics in a simple manner. Our approach consists essentially of two steps: after introducing a nonlinear evolution semigroup for the original dynamics, we show that the problem of finding center-stable invariant man...

Panyanak, Bancha
Published in
Journal of Fixed Point Theory and Applications

We guarantee the existence of stationary points for semicompact lower semicontinuous multifunctions in metric spaces. We also show that the semicompactness condition can be replaced by some other properties. Several examples illustrating the main results are also given.

Balderrama, Rocío
Published in
Journal of Fixed Point Theory and Applications

This paper is concerned with a nonautonomous time-delayed model for the regulation of the hematopoiesis with an oscillating circulation loss rate. We prove a fixed point theorem in cones to establish some sufficient conditions ensuring the existence of positive almost periodic solutions of the model with almost periodic coefficients. Moreover, some...

Baias, Alina Ramona Popa, Dorian Raşa, Ioan
Published in
Journal of Fixed Point Theory and Applications

Let T be a bounded linear operator acting on a Banach space X. We obtain some results on Ulam stability for the linear difference equation xn+1=Txn+an\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemar...

Brzdęk, Janusz Fošner, Ajda Leśniak, Zbigniew
Published in
Journal of Fixed Point Theory and Applications

We investigate functions that satisfy the condition defining generalized Lie derivations only asymptotically approximately, in a neighbourhood of the origin in a Banach algebra. We show that, under suitable assumptions, they are close to generalized Lie derivations.

Pant, R. P. Özgür, Nihal Taş, Nihal Pant, Abhijit Joshi, Mahesh C.
Published in
Journal of Fixed Point Theory and Applications

We obtain a Meir–Keeler type fixed-point theorem which gives a new solution to the Rhoades’ problem on the existence of contractive mappings that admit discontinuity at the fixed point. Meir–Keeler type solutions of the Rhoades’ problem have not been reported in literature before this. Presenting a new approach, we give another solution to this pro...

Berinde, Vasile Păcurar, Mădălina
Published in
Journal of Fixed Point Theory and Applications

We introduce a large class of contractive mappings, called enriched contractions, a class which includes, amongst many other contractive type mappings, the Picard–Banach contractions and some nonexpansive mappings. We show that any enriched contraction has a unique fixed point and that this fixed point can be approximated by means of an appropriate...