Abstract
Abstract In this paper, we proved a fixed point theorem for multi-valued non-self mappings in partial symmetric spaces. In doing so, we extended and generalized the results in literature by employing a convex structure for multi-valued non-self mappings using Rhoades type contractions. We also provided an illustrative example to support the results.
Highlights
In 1922, Banach [1] gave a contraction principle (BCP) for a self-mapping in metric space
In this paper, we proved a xed point theorem for multi-valued non-self mappings in partial symmetric spaces
We extended and generalized the results in literature by employing a convex structure for multi-valued non-self mappings using Rhoades type contractions
Summary
In 1922, Banach [1] gave a contraction principle (BCP) for a self-mapping in metric space. Abstract: In this paper, we proved a xed point theorem for multi-valued non-self mappings in partial symmetric spaces. (iii) a partial symmetric space (X, ps) is said to be ps-complete if every ps- Cauchy sequence {xn} in X is ps convergent, with respect to τps to a point x ∈ X, such that ps(x, x) ps (xn , x) lim n,m→∞
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