An Extended b-Metric-Type Space and Related Fixed Point Theorems with an Application to Nonlinear Integral Equations
In this paper, the concept of sequential p-metric spaces has been introduced as a generalization of usual metric spaces, b-metric spaces and specially of p-metric spaces. Several topological properties of such spaces have been discussed here. In view of this notion, we prove fixed point theorems for...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2020/8868043 |
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| author | Kushal Roy Sayantan Panja Mantu Saha Vahid Parvaneh |
| author_facet | Kushal Roy Sayantan Panja Mantu Saha Vahid Parvaneh |
| author_sort | Kushal Roy |
| collection | DOAJ |
| description | In this paper, the concept of sequential p-metric spaces has been introduced as a generalization of usual metric spaces, b-metric spaces and specially of p-metric spaces. Several topological properties of such spaces have been discussed here. In view of this notion, we prove fixed point theorems for some classes of contractive mappings over such spaces. Supporting examples have been given in order to examine the validity of the underlying space and in respect to our proven fixed point theorems. |
| format | Article |
| id | doaj-art-ecc8d3a769ed44c5b11fecfe557de77c |
| institution | OA Journals |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-ecc8d3a769ed44c5b11fecfe557de77c2025-08-20T02:22:06ZengWileyAdvances in Mathematical Physics1687-91201687-91392020-01-01202010.1155/2020/88680438868043An Extended b-Metric-Type Space and Related Fixed Point Theorems with an Application to Nonlinear Integral EquationsKushal Roy0Sayantan Panja1Mantu Saha2Vahid Parvaneh3Department of Mathematics, The University of Burdwan, Purba Bardhaman, 713104 West Bengal, IndiaDepartment of Mathematics, The University of Burdwan, Purba Bardhaman, 713104 West Bengal, IndiaDepartment of Mathematics, The University of Burdwan, Purba Bardhaman, 713104 West Bengal, IndiaDepartment of Mathematics, Gilan-E-Gharb Branch, Islamic Azad University, Gilan-E-Gharb, IranIn this paper, the concept of sequential p-metric spaces has been introduced as a generalization of usual metric spaces, b-metric spaces and specially of p-metric spaces. Several topological properties of such spaces have been discussed here. In view of this notion, we prove fixed point theorems for some classes of contractive mappings over such spaces. Supporting examples have been given in order to examine the validity of the underlying space and in respect to our proven fixed point theorems.http://dx.doi.org/10.1155/2020/8868043 |
| spellingShingle | Kushal Roy Sayantan Panja Mantu Saha Vahid Parvaneh An Extended b-Metric-Type Space and Related Fixed Point Theorems with an Application to Nonlinear Integral Equations Advances in Mathematical Physics |
| title | An Extended b-Metric-Type Space and Related Fixed Point Theorems with an Application to Nonlinear Integral Equations |
| title_full | An Extended b-Metric-Type Space and Related Fixed Point Theorems with an Application to Nonlinear Integral Equations |
| title_fullStr | An Extended b-Metric-Type Space and Related Fixed Point Theorems with an Application to Nonlinear Integral Equations |
| title_full_unstemmed | An Extended b-Metric-Type Space and Related Fixed Point Theorems with an Application to Nonlinear Integral Equations |
| title_short | An Extended b-Metric-Type Space and Related Fixed Point Theorems with an Application to Nonlinear Integral Equations |
| title_sort | extended b metric type space and related fixed point theorems with an application to nonlinear integral equations |
| url | http://dx.doi.org/10.1155/2020/8868043 |
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