FIXED POINT AND COMMON FIXED POINT THEOREMS FOR PATA-TYPE CONTRACTIONS IN B-M ETRIC SPACES

Deep Chand; Yumnam Rohen; Sanasam Surendra Singh; Naeem Saleem

FIXED POINT AND COMMON FIXED POINT THEOREMS FOR PATA-TYPE CONTRACTIONS IN B-M ETRIC SPACES

Deep Chand
, Yumnam Rohen
, Sanasam Surendra Singh
, Naeem Saleem

Research output: Contribution to journal › Article › peer-review

Abstract

This paper focuses on exploring some fixed point theorems and common fixed point theorems for mappings that satisfy Pata-type contractive conditions within the framework of b-metric spaces. The results presented here generalize and improve upon existing findings in the literature, as those earlier outcomes naturally emerge as specific cases of our results. To emphasize the significance and applicability of these contributions, we have included relevant illustrative examples.

Original language	English
Pages (from-to)	2563-2582
Number of pages	20
Journal	Journal of Nonlinear and Convex Analysis
Volume	26
Issue number	8
Publication status	Published - 2025
Externally published	Yes

Keywords

Pata-Type condition
b-Metric space
common fixed point

Cite this

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title = "FIXED POINT AND COMMON FIXED POINT THEOREMS FOR PATA-TYPE CONTRACTIONS IN B-M ETRIC SPACES",

abstract = "This paper focuses on exploring some fixed point theorems and common fixed point theorems for mappings that satisfy Pata-type contractive conditions within the framework of b-metric spaces. The results presented here generalize and improve upon existing findings in the literature, as those earlier outcomes naturally emerge as specific cases of our results. To emphasize the significance and applicability of these contributions, we have included relevant illustrative examples.",

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AU - Rohen, Yumnam

AU - Singh, Sanasam Surendra

AU - Saleem, Naeem

PY - 2025

Y1 - 2025

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AB - This paper focuses on exploring some fixed point theorems and common fixed point theorems for mappings that satisfy Pata-type contractive conditions within the framework of b-metric spaces. The results presented here generalize and improve upon existing findings in the literature, as those earlier outcomes naturally emerge as specific cases of our results. To emphasize the significance and applicability of these contributions, we have included relevant illustrative examples.

KW - Pata-Type condition

KW - b-Metric space

KW - common fixed point

UR - https://www.scopus.com/pages/publications/105032798729

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AN - SCOPUS:105032798729

SN - 1345-4773

VL - 26

SP - 2563

EP - 2582

JO - Journal of Nonlinear and Convex Analysis

JF - Journal of Nonlinear and Convex Analysis

IS - 8

ER -

FIXED POINT AND COMMON FIXED POINT THEOREMS FOR PATA-TYPE CONTRACTIONS IN B-M ETRIC SPACES

Abstract

Keywords

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