GAMMA-K DISTANCE AND FIXED POINT THEOREMS

Anwar Bataihah; Arslan Hojjat Ansari; Seyyed Hossein Jafari Petroudi; Tariq Qawasmeh; Ayman A. Hazaymeh

doi:10.56947/gjom.v20i2.3169

GAMMA-K DISTANCE AND FIXED POINT THEOREMS

Anwar Bataihah^*
, Arslan Hojjat Ansari
, Seyyed Hossein Jafari Petroudi
, Tariq Qawasmeh
, Ayman A. Hazaymeh

^*Corresponding author for this work

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

Abstract

The objective of this manuscript is to present distance mappings, particularly gamma-k distance mappings. By employing these mappings, we can successfully implement considerable contractions on a mapping f: Z → Z. To illustrate the significance and practical relevance of our research, we provide a noteworthy example and application. Our findings expand and generalize existing results in the literature.

Original language	English
Pages (from-to)	275-287
Number of pages	13
Journal	Gulf Journal of Mathematics
Volume	20
Issue number	2
DOIs	https://doi.org/10.56947/gjom.v20i2.3169
Publication status	Published - 18 Aug 2025
Externally published	Yes

Keywords

fixed point
fixed point theory
gamma distance
gamma-k distance mapping
generalized contraction
nonlinear analysis

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10.56947/gjom.v20i2.3169

Cite this

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abstract = "The objective of this manuscript is to present distance mappings, particularly gamma-k distance mappings. By employing these mappings, we can successfully implement considerable contractions on a mapping f: Z → Z. To illustrate the significance and practical relevance of our research, we provide a noteworthy example and application. Our findings expand and generalize existing results in the literature.",

keywords = "fixed point, fixed point theory, gamma distance, gamma-k distance mapping, generalized contraction, nonlinear analysis",

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AU - Qawasmeh, Tariq

AU - Hazaymeh, Ayman A.

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PY - 2025/8/18

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AB - The objective of this manuscript is to present distance mappings, particularly gamma-k distance mappings. By employing these mappings, we can successfully implement considerable contractions on a mapping f: Z → Z. To illustrate the significance and practical relevance of our research, we provide a noteworthy example and application. Our findings expand and generalize existing results in the literature.

KW - fixed point

KW - fixed point theory

KW - gamma distance

KW - gamma-k distance mapping

KW - generalized contraction

KW - nonlinear analysis

UR - https://www.scopus.com/pages/publications/105014168456

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GAMMA-K DISTANCE AND FIXED POINT THEOREMS

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Keywords

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