Existence and uniqueness of solutions for a class of integral equations by common fixed point theorems in IFMT-spaces

Abstract In this paper, our aim is to address the existence and uniqueness of solutions for a class of integral equations in IFMT-space. Therefore, we introduce the concept of IFMT-spaces and prove a common fixed point theorem in a complete IFMT-space; next we study an application.

Bibliographic Details
Main Author: Reza Saadati
Format: Article
Language:English
Published: SpringerOpen 2016-08-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13660-016-1148-3
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author Reza Saadati
author_facet Reza Saadati
author_sort Reza Saadati
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description Abstract In this paper, our aim is to address the existence and uniqueness of solutions for a class of integral equations in IFMT-space. Therefore, we introduce the concept of IFMT-spaces and prove a common fixed point theorem in a complete IFMT-space; next we study an application.
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spelling doaj.art-d852c9411dac4f79ace6181268f220a52022-12-21T19:11:58ZengSpringerOpenJournal of Inequalities and Applications1029-242X2016-08-01201611810.1186/s13660-016-1148-3Existence and uniqueness of solutions for a class of integral equations by common fixed point theorems in IFMT-spacesReza Saadati0Department of Mathematics, Iran University of Science and TechnologyAbstract In this paper, our aim is to address the existence and uniqueness of solutions for a class of integral equations in IFMT-space. Therefore, we introduce the concept of IFMT-spaces and prove a common fixed point theorem in a complete IFMT-space; next we study an application.http://link.springer.com/article/10.1186/s13660-016-1148-3integral equationsnonlinear IF contractive mappingcomplete IFMT-spacefixed point theorem
spellingShingle Reza Saadati
Existence and uniqueness of solutions for a class of integral equations by common fixed point theorems in IFMT-spaces
Journal of Inequalities and Applications
integral equations
nonlinear IF contractive mapping
complete IFMT-space
fixed point theorem
title Existence and uniqueness of solutions for a class of integral equations by common fixed point theorems in IFMT-spaces
title_full Existence and uniqueness of solutions for a class of integral equations by common fixed point theorems in IFMT-spaces
title_fullStr Existence and uniqueness of solutions for a class of integral equations by common fixed point theorems in IFMT-spaces
title_full_unstemmed Existence and uniqueness of solutions for a class of integral equations by common fixed point theorems in IFMT-spaces
title_short Existence and uniqueness of solutions for a class of integral equations by common fixed point theorems in IFMT-spaces
title_sort existence and uniqueness of solutions for a class of integral equations by common fixed point theorems in ifmt spaces
topic integral equations
nonlinear IF contractive mapping
complete IFMT-space
fixed point theorem
url http://link.springer.com/article/10.1186/s13660-016-1148-3
work_keys_str_mv AT rezasaadati existenceanduniquenessofsolutionsforaclassofintegralequationsbycommonfixedpointtheoremsinifmtspaces