Investigation of a fixed point problem for Pata-type contractions with respect to w-distance

Roy, Subhadip; Chakraborty, Priyam; Ghosh, Sanghamitra; Saha, P.; Choudhury, Binayak S.

doi:10.1007/s41478-023-00612-4

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2024

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Cited by 4 publications

(1 citation statement)

References 26 publications

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“… [31] Let C be a bounded and closed subset of a metric space

containing at least two points and δ a constant such that

, where

denotes the diameter of C . The function

0

defined by

is a w -distance on

.…”

Section: Basic Definitions and Resultsmentioning

confidence: 99%

On some fixed point results using CG simulation functions via w-distance with applications

Atallaoui,

Hasan,

Shatanawi

et al. 2024

Heliyon

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“… [31] Let C be a bounded and closed subset of a metric space

containing at least two points and δ a constant such that

, where

denotes the diameter of C . The function

0

defined by

is a w -distance on

.…”

Section: Basic Definitions and Resultsmentioning

confidence: 99%

On some fixed point results using CG simulation functions via w-distance with applications

Atallaoui,

Hasan,

Shatanawi

et al. 2024

Heliyon

View full text Add to dashboard Cite

S-Pata-type contraction: a new approach to fixed-point theory with an application

Chand,

Rohen,

Saleem

et al. 2024

J Inequal Appl

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In this paper, we introduce new types of contraction mappings named S-Pata-type contraction mapping and Generalized S-Pata-type contraction mapping in the framework of S-metric space. Then, we prove some new fixed-point results for S-Pata-type contraction mappings and Generalized S-Pata-type contraction mappings. To support our results, we provide examples to illustrate our findings and also apply these results to the ordinary differential equation to strengthen our conclusions.

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Some coupled fixed point results for multi-valued nonlinear contractions in metric spaces using w-distance

Subhadip,

Parbati,

Choudhury

et al. 2024

Mathematica Moravica

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This study employs contractive criteria related to w-distances to design and address a non-linear multivalued fixed point problem. The results presented in this study are substantiated by the inclusion of three illustrative examples. In this work, a dedicated portion is allocated to the examination of the use of w-distances. Specifically, it explores how the utilization of w-distances in the current context expands upon the findings derived from metric distances.

show abstract

Investigation of a fixed point problem for Pata-type contractions with respect to w-distance

Cited by 4 publications

References 26 publications

On some fixed point results using CG simulation functions via w-distance with applications

On some fixed point results using CG simulation functions via w-distance with applications

S-Pata-type contraction: a new approach to fixed-point theory with an application

Some coupled fixed point results for multi-valued nonlinear contractions in metric spaces using w-distance

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