Application to fixed point theory of -Geraghty Pata proximal contractions

In this paper, we introduce the concepts of -Geraghty Pata proximal contractions and their weak ϕ -variants, which generalize and unify several well-known contraction conditions in fixed point theory. By integrating the ideas of Geraghty and Pata contractions with the framework of α − θ -proximal ad...

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Bibliographic Details
Published in:	Fixed point theory and algorithms for sciences and engineering Vol. 2025; no. 1; pp. 19 - 24
Main Authors:	Alam, Khairul Habib, Rohen, Yumnam, Albargi, Amer Hassan, Hussain, Aftab
Format:	Journal Article
Language:	English
Published:	Cham Springer International Publishing 01.12.2025 Springer Nature B.V SpringerOpen
Subjects:	Analysis Applications of Mathematics Approximation Differential equations Differential Geometry Fixed points (mathematics) Fractional calculus Geraghty Pata proximal contraction Geraghty Pata type coupled fixed point Mapping Mathematical and Computational Biology Mathematics Mathematics and Statistics Metric space Theorems Topology Weak -Geraghty Pata proximal contraction α − θ $\alpha -\theta $ -proximal admissibility Weak 47H10 54E50 46T99 Geraghty Pata proximal contraction Geraghty Pata type coupled fixed point 54H10 proximal admissibility
ISSN:	2730-5422
Online Access:	Get full text
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