Vol. 10 No. 2 (2026): Vol 10, Iss 2, Year 2026
Articles

Fixed Point Results for Generalized Rational Type (ϑ, ψ,ϕ)-Weak Contractive Mappings in b-Metric Spaces with Application

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  • Poonam T,
  • Rajesh Kumar AS
Poonam T
Department of Mathematics,BPS Mahila Vishwavidyalaya Khanpur Kalan, Sonipat, Haryana, India.
Rajesh Kumar AS
Department of Mathematics, BPSIHL, BPS Mahila Vishwavidyalaya Khanpur Kalan, Sonipat, Haryana, India.
DOI: https://doi.org/10.26524/cm245
Published December 31, 2026
Keywords
  • α- admissible mapping, common fixed point, weakly compatible mappings, rational type (ϑ,ψ,ϕ) weak contractive condition, integral equation.
How to Cite
Poonam T, & Rajesh Kumar AS. (2026). Fixed Point Results for Generalized Rational Type (ϑ, ψ,ϕ)-Weak Contractive Mappings in b-Metric Spaces with Application. Journal of Computational Mathematica, 10(2), 200-232. https://doi.org/10.26524/cm245

Abstract

This problem concentrates on existence and uniqueness of common fixed point for two pairs of self mappings gratify broad rational type (ϑ,ψ,ϕ)- weak contractive axiom in the framework of b-Metric Space. The pairs of mappings are weakly compatible and one pair is α- admissible w.r.t. the other. Our results broad and improve some well known results in the literature. As an application of our result, we shall discuss the existence of common solution of integral equations.

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