Fixed point theorems for Φ p operator in cone Banach spaces

Abstract

In this paper a class of self-mappings on cone Banach spaces which have at least one fixed point is considered. More precisely, for a closed and convex subset C of a cone Banach space with the norm x C = d(x, 0), if there exist a, b, c, r and T : C → C satisfies the conditions 0 , y)) for all x, y ∈ C, then T has at least one fixed point. MSC: 47H10; 54H25

Jungck type fixed point results for weakly compatible mappings in a rectangular soft metric space

“…Immediately afterwards, in this paper we focus on Jungck's common fixed point consequences for commuting mappings [9] and present some theorems in rectangular soft metric spaces. More details on fixed point theorems and common fixed point theorems can be found at [1,3,6,7,10,[13][14][15][16]21].…”