Abstract
The main objective of this manuscript is to discuss some coupled coincidence point (ccp) results for generalized α- admissible mappings which are f(ψ, φ)- contractions in the context of b-metric spaces (b-ms). Also, an example to support the obtained theoretical theorems is derived. Ultimately, an analytical solution for nonlinear integral equation (nie) is discussed as an application.
Highlights
Introduction and elementary discussionsFixed point techniques plays an enormous role in many applications of mathematics
A number of publications are interested to the study and solutions of many practical and theoretical problems by using this principle [1,2,3,4,5,6,7,8]
Several papers have been published on the fixed point theory of both classes of single-valued and multi-valued operators in (b-ms). [11], [12], [13,14,15,16]
Summary
Fixed point techniques plays an enormous role in many applications of mathematics. During the past thirty years various extension of a metric space have been discussed. Coupled coincidence point; generalized α− admissible mapping; b−metric spaces; nonlinear integral equations. (iii) the pair (Γ, νb) is called a complete iff every Cauchy sequence {en} in Γ converges to e ∈ Γ. [27] An element (e, r) ∈ Γ × Γ is called a (ccp) of mappings Υ, Λ : Γ × Γ → Γ if Υ(e, r) = Λ(e, r) and Υ(r, e) = Λ(r, e). Ansari [29] initiated the remarkable of C−class functions This contribution covers a large class of contractive conditions. [29] A C-class function is a continuous mapping f : [0, ∞)2 → R which fulfills the stipulations below:. The goal of this paper is to obtain some new (ccp) results for a certain class of f (ψ, φ)- contractive via generalized α− admissible mappings in (b-ms). To support our work we present an example and application to find an analytical solution to the (nie)
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