In this paper, we study the existence of integral solutions of fuzzy fractional differential systems with nonlocal conditions under Caputo generalized Hukuhara derivatives. These models are considered in the framework of completegeneralized metric spaces in the sense of Perov. The novel feature of our approach is the combination of the convergentmatrix technique with Schauder fixed point princi...

In this paper, we prove that if f is a contractive closed-valued correspondence on a cone metric space (X, d) and there is a contractive orbit {xn} for f at x0 ∈ X such that both {xni} and {xni+1} converge for some subsequence {xni} of {xn}, then f has a fixed point, which generalizes a fixed point theorem for contractive closed-valued correspondences from metric spaces to cone metric spaces.

Necessary and sufficient criteria for metric subregularity (or calmness) of set-valued mappings between general metric or Banach spaces are treated in the framework of the theory of error bounds for a special family of extended real-valued functions of two variables. A classification scheme for the general error bound and metric subregularity criteria is presented. The criteria are formulated i...

Abstract This paper aims to present the concept of multi-valued mappings in fuzzy cone metric spaces and prove some basic lemmas, a Hausdorff metric, fixed point results for set-valued cone-contraction mappings. We theorem rational type cone-contractions spaces. Our extend improve given literature.

Abstract In this paper, we have established some fixed point theorems in the context of strong b-metric spaces. For purpose, Ciric type contraction for single-valued mapping and Nadler’s Banach Chatterjea contractions set-valued mappings are applied to obtain common points. A simple different technique has been used results. Our results unify, extend generalize existence corresponding present c...

Abstract In Shulman (J Funct Anal 263:1468–1484, Theorem 2.2) the author estimated cardinality of global image a subadditive map from group to an arbitrary power set and applied result functional equations Levi-Civita type (the relations this covering by subgroups will be shortly discussed in present paper). Here we establish metric stability theorem. Namely it shown that if set-valued F G spac...