Existence Theorems for Relational Theoretic (Ψ,Φ)-Interpolative Contractions

Article Sidebar

PDF
Published: Mar 15, 2024
Keywords:
Interpolative contractions, Relational metric space, R-admissible

Main Article Content

Koti N. V. V. Prasad
Guru Ghasidas Vishwavidyalaya, Bilaspur (C.G.), India
Vinay Mishra
Guru Ghasidas Vishwavidyalaya, Bilaspur (C.G.), India

Abstract

In this paper, we establish some fixed point results for conditional interpolative contractive mappings using -admissible maps and other relational metrical concepts. Our findings enhance existing interpolative contractions found in the literature. We provide examples to illustrate our main results, especially in cases where previous research outcomes are not applicable.

Article Details

How to Cite
1.
Prasad KNVV, Vinay Mishra. Existence Theorems for Relational Theoretic (Ψ,Φ)-Interpolative Contractions. J. Int. Acad. Phys. Sci. [Internet]. 2024 Mar. 15 [cited 2024 May 3];28(1):19-2. Available from: https://www.iaps.org.in/journal/index.php/journaliaps/article/view/996
Issue
Vol. 28 No. 1 (2024): Table of Content
Section
Articles
Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

References

R. Kannan; Some results on fixed points, Bulletin of the Calcutta Mathematical Society, 60 (1968), 71-76.

L. Ćirić; Fixed point theorems for multi-valued contractions in complete metric spaces, Journal of Mathematical Analysis and Applications, 348 (2008), 499–507.

S. Reich; Some remarks concerning contraction mappings, Canadian Mathematical Bulletin, 14 (1971), 121–124.

I.A. Rus; Generalized Contractions and Applications, Cluj University Press: Cluj-Napoca, Romania, 2001.

G.E. Hardy, T.D. Rogers; A generalization of a fixed point theorem of Reich, Canadian Mathematical Bulletin, 16 (1973), 201–206.

E. Karapinar; Revisiting the Kannan type contractions via interpolation, Advances in the Theory of Nonlinear Analysis and its Application, 2 (2018), 85–87.

E. Karapinar, R.P. Agarwal, H. Aydi; Interpolative Reich-Rus-Ćirić type contractions on partial-metric spaces, Mathematics, 6 (2018), 256.

E. Karapinar, O. Alqahtani, H. Aydi; On interpolative Hardy-Rogers type contractions, Symmetry, 11 (2018), 8.

A. Alam, M. Imdad; Relation-theoretic contraction principle, Journal of Fixed Point Theory and Applications, 31 (2015), 693–702.

A. Alam, M. Imdad; Relation-theoretic metrical coincidence theorems, Filomat, 17 (2017), 4421–4439.

A. Alam, M. Imdad; Nonlinear contractions in metric spaces under locally T-transitive binary relations, Fixed Point Theory, 19 (2018) 13-24.

B. Samet, C. Vetro, P. Vetro; Fixed point theorems for α–ψ-contractive type mappings, Nonlinear analysis: Theory, Methods & Applications, 75 (2012), 2154–2165.