Almost \((\alpha/\eta)\)-\(\psi_\Gamma\)-Contraction in Induced Fuzzy Metric Space and Application to Fredholm Integral Equations

Rajesh Kumar Saini; Mukesh Kumar Kushwaha

doi:10.26713/cma.v13i1.1685

Authors

Rajesh Kumar Saini Department of Mathematical Sciences and Computer Applications, Bundelkhand University, Jhansi, India https://orcid.org/0000-0003-2620-774X (unauthenticated)
Mukesh Kumar Kushwaha Department of Mathematical Sciences and Computer Applications, Bundelkhand University, Jhansi, India https://orcid.org/0000-0002-2687-4334 (unauthenticated)

DOI:

https://doi.org/10.26713/cma.v13i1.1685

Keywords:

Almost \((\alpha/\eta)\)-\(\psi_\Gamma\)-contraction, Induced fuzzy metric space, Fredholm integral equation.

Abstract

In this paper, we established a new class of almost \((\alpha/\eta)\)-\(\psi_\Gamma\)-contraction mapping in induced fuzzy metric space (FMS) and then proved the results for existence of fixed point theorem (FPT) for multi-valued mappings (MVMs) on the collection of non-empty closed subsets. In application, we prove the existence theorem for Fredholm integral inclusion (FII). An illustrative example also introduced in support of our main result.

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