Fixed point Theorems of Multivalued Mappings in Cone Metric Spaces via Cone C-Class function

Abstract

Let be a subset of a Banach space and is normal and regular cone on , we prove the existence of the fixed point for multi valued maps and φ-ψcontractive mappings in cone metric spaces via cone C class functions.

Fixed point theorems of generalized multi-valued mappings in cone b-metric spaces

“…In this paper, we study the existence of fixed points for multi-valued mappings by adapting the ideas in [1] to the cone b-metric spaces setting.…”

“…So all the conditions of Theorem 2.1 are satisfied. Moreover, 1 3 and 2 3 are the two fixed points of T . Corollary 1.…”

“…Then (X, d) is a complete cone b-metric. Let us define T : X → CB(X) as ( 9) T (x) = { 2 5 }, if 0 ≤ x < 1, { 1 5 }, if x = 1. Let x, y ∈ X.…”

“…In 2020, Wasfi Shatanawi, Zoran D. Mitrović, Nawab Hussain and Stojan Radenović [33] proved Generalized Hardy-Rogers Type α-Admissible Mappings in Cone b-Metric Spaces over Banach Algebras. Krishnakumar and Marudai [1] proved the following fixed point theorems of multi-valued mappings in cone metric spaces. Theorem 1.…”