Fixed point theorems for generalized \(\alpha_s\)-\(\psi\)-contractions with applications
type: Item
instance of: scholarly article
title: Fixed point theorems for generalized \(\alpha_s\)-\(\psi\)-contractions with applications
zbMATH Open document ID: 1470.54083
DOI: 10.1155/2018/8368546
author: Zhenhua Ma
author: Muhammad Nazam
author: Sami Ullah Khan
author: Xiangling Li
published in: Journal of Function Spaces
publication date: 2018-09-06T00:00:00Z
review text: Summary: We study the sufficient conditions for the existence of a unique common fixed point of generalized \(\alpha_s\)-\(\psi\)-Geraghty contractions in an \(\alpha_s\)-complete partial \(b\)-metric space. We give an example in support of our findings. Our work generalizes many existing results in the literature. As an application of our findings we demonstrate the existence of the solution of the system of elliptic boundary value problems.
Mathematics Subject Classification ID: 54H25
Mathematics Subject Classification ID: 54E40
zbMATH DE Number: 6933361
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/8368546
OpenAlex ID: W2886076356
cites work: On a fixed point theorem of mixed monotone operators and applications
cites work: Fixed point theorems for the sum of three classes of mixed monotone operators and applications
cites work: Existence and uniqueness of fixed points for some mixed monotone operators
cites work: On common fixed points for \(\alpha-F\)-contractions and applications
cites work: A fixed point theorem for set-valued quasi-contractions in \(b\)-metric spaces
cites work: A common fixed point for weak \(\varphi \)-contractions on \(b\)-metric spaces
cites work: Partial Hausdorff metric and Nadler's fixed point theorem on partial metric spaces
cites work: Ciric-Berinde fixed point theorems formulti-valued mappings on α-complete metric-like spaces
cites work: On fixed point results for a-implicit contractions in quasi-metric spaces and consequences
cites work: Fixed points of \(\tau -\varphi\)-convex operators and applications
cites work: A generalization of Banach's contraction principle for some non-obviously contractive operators in a cone metric space
cites work: Q3452436
cites work: Feasibility-solvability theorems for generalized vector equilibrium problem in reflexive Banach spaces
cites work: Some generalized integral inequalities and their applications
cites work: The existence and uniqueness of positive solutions for integral boundary value problems
cites work: Existence of solutions of elliptic boundary value problems with mixed type nonlinearities
cites work: Oscillation criteria for fractional differential equations with mixed nonlinearities
cites work: Existence and uniqueness of positive solutions for some singular boundary value problems with linear functional boundary conditions
cites work: Partial b-metric spaces and fixed point theorems
cites work: Fixed point theorems for \(\alpha\)-\(\psi\)-contractive type mappings
cites work: Some new fixed point theorems for \(\alpha\)-Geraghty contraction type maps in metric spaces
cites work: Fixed point theorems for \((\psi, \beta)\)-Geraghty contraction type maps in ordered metric spaces and some applications to integral and ordinary differential equations
cites work: Fixed point theory in \(\alpha\)-complete metric spaces with applications
cites work: Some fixed point theorems for rational Geraghty contractive mappings in ordered \(b\)-metric spaces
description: scientific article; zbMATH DE number 6933361