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.
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Format: | Article |
Language: | English |
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SpringerOpen
2016-08-01
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Series: | Journal of Inequalities and Applications |
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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 |
collection | DOAJ |
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. |
first_indexed | 2024-12-21T07:11:38Z |
format | Article |
id | doaj.art-d852c9411dac4f79ace6181268f220a5 |
institution | Directory Open Access Journal |
issn | 1029-242X |
language | English |
last_indexed | 2024-12-21T07:11:38Z |
publishDate | 2016-08-01 |
publisher | SpringerOpen |
record_format | Article |
series | Journal of Inequalities and Applications |
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 |