Fixed Point Theorems for Multivalued NonselfG-Almost Contractions in Banach Spaces Endowed with Graphs

Abstract

In this paper, we prove some fixed point theorems for multivalued nonselfG-almost contractions in Banach spaces with a directed graph and give some examples to illustrate our main results. The main results in this paper extend and generalize many known results in the literature therein.

Fuzzy b-Metric Spaces: Fixed Point Results for ψ-Contraction Correspondences and Their Application

“…In this paper we define the ψ-contractive and monotone ψ-contractive correspondence and prove some results for the existence of fixed points for these contractive conditions in "fuzzy b-metric spaces", where ψ ∈ Ψ and Ψ consists of all the functions ψ : R + ∪ {0} → R + ∪ {0} being continuous, nondecreasing and ψ(1) = 1. It is important to mention that several researchers have obtained fixed points of correspondence satisfying the contractive conditions via the Hausdorff distance [38][39][40][41][42][43]. We improve Theorem 1 in a short and comprehensive way and obtain the result without using the Hausdorff distance.…”