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Moosa Gabeleh, Pradip Ramesh Patle, Manuel De La Sen, Noncyclic $\varphi$-contractions in hyperbolic uniformly convex metric spaces

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DOI: 10.23952/jnva.7.2023.2.06

Volume 7, Issue 2, 1 April 2023, Pages 251-265

 

Abstract.This paper aims to study the convergence of Picard’s iteration to a best proximity pair for a class of noncyclic mappings with the help of projections in hyperbolic uniformly convex metric spaces. Some sufficient conditions are provided to guarantee the existence of a common best proximity pair for a pair of noncyclic mappings. Moreover, the existence and convergence of best proximity pairs for asymptotic pointwise noncyclic orbital contractions is studied. The main conclusions are supported with illustrative examples.

 

How to Cite this Article:
M. Gabeleh, P.R. Patle, M. De La Sen, Noncyclic $\varphi$-contractions in hyperbolic uniformly convex metric spaces, J. Nonlinear Var. Anal. 7 (2023), 251-265.