Approximation of endpoints for multi-valued mappings in metric spaces

Subject Areas : Fixed point theory

K. Ullah ¹ , J. Ahmad ² , N. Muhammad ³

1 - Department of Mathematics, University of Science and Technology, Bannu 28100, Khyber Pakhtunkha, Pakistan
2 - Department of Mathematics, University of Science and Technology, Bannu 28100, Khyber Pakhtunkha, Pakistan
3 - Department of Mathematics, University of Science and Technology, Bannu 28100, Khyber Pakhtunkha, Pakistan

Received: 2020-03-16 Accepted : 2020-06-21 Published : 2020-06-01

Keywords: Hyperbolic space, strong convergence, Endpoint, condition (J), $Delta$-convergence,

Abstract :

In this paper, under some appropriate conditions, we prove some $\Delta$ and strong convergence theorems of endpoints for multi-valued nonexpansive mappings using modified Agarwal-O'Regan-Sahu iterative process in the general setting of 2-uniformly convex hyperbolic spaces. Our results extend and unify some recent results of the current literature.

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