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http://dx.doi.org/10.22771/nfaa.2021.26.03.10

CONVERGENCE THEOREM FOR A GENERALIZED 𝜑-WEAKLY CONTRACTIVE NONSELF MAPPING IN METRICALLY CONVEX METRIC SPACES

Kim, Kyung Soo (Department of Mathematics Education, Kyungnam University)

Publication Information

Nonlinear Functional Analysis and Applications / v.26, no.3, 2021 , pp. 601-610 More about this Journal

Abstract

A convergence theorem for a generalized 𝜑-weakly contractive mapping is proved which satisfy a generalized contraction condition on a complete metrically convex metric space. The result in this paper generalizes the relevant results due to Rhoades [18], Alber and Guerre-Delabriere [1], Khan and Imdad [14], Xue [20] and others. An illustrative example is also furnished in support of our main result.

Keywords

Metrically convex metric space; generalized ${\varphi}$ -weakly contractive nonself mapping; fixed point;

Citations & Related Records

Reference

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