Some fixed point results for multi-valued mappings in metric-like and quasi metric-like spaces

Abstract

We establish the existence of fixed point for F-contractive multivalued mappings of Hardy–Rogers type in metric-like spaces. Then, we introduce a new notion called bilateral approximate fixed points for multivalued mappings and establish a common bilateral approximate fixed point result for two [Formula: see text]-dominated multivalued contractive mappings in the sense of [M. Arshad, Z. Kadelburgb, S. Radenovic, A. Shoaibe and S. Shukla, Filomat. 31(11) (2017) 3041–3056] on a closed ball of a K-sequentially complete quasi metric-like space. Finally, one can observe that the common bilateral approximate fixed point results coincide with common fixed point results, whenever we reduce the quasi metric-like spaces to metric-like spaces.

Common Fixed Point Theorems on Tricomplex Valued Metric Space

“…ere has been a number of generalizations of the usual notion of a metric space (see [1][2][3][4][5][6][7][8] and the references therein). Serge [9] made a pioneering attempt in the development of special algebras.…”