Fuzzy fixed point theorems for fuzzy mappings via β-admissible with applications

Abstract

The object of this paper is to utilize the notion of β-admissible in the sense of Mohammadi et al. (Fixed Point Theory Appl. 2013:24, 2013 to prove a fuzzy fixed point theorem and present some corollaries. We also give illustrative examples which demonstrate the validity of hypotheses of our results and applications to fuzzy fixed points for fuzzy mappings in partially ordered metric spaces are studied.

Fuzzy fixed point theorems for multivalued fuzzy contractions in b -metric spaces

“…Subsequently, several authors generalized and studied the existence of fixed points and common fixed points of fuzzy mappings satisfying a contractive type condition (see [1,2,5,6,13,18,19,21,23,26,27,28,29,32]). …”

L-fuzzy Fixed Point Theorems for L-fuzzy Mappings via β F L $\beta _{F_{L}}$ -admissible with Applications

“…In this manuscript, the authors developed a new L-fuzzy fixed point theorems on a complete metric space via β F L -admissble mapping in sense of Mohammadi et al [20] which is a generalization of main result of Phiangsungnoen et al [21]. We also construct some examples to support our results and infer as an application, the existence of L-fuzzy fixed points in a complete partially ordered metric space.…”

“…If we consider L = [0, 1] in Theorem 1 and 2, Corollary 1, 2 and 3 we get Theorem 1, 2 Corollary 2, 4 and 5 of [21] respectively; ii…”

Fixed point results for fuzzy mappings in a b-metric space

“…Recently, Beg et al [7] proved the result concerning the existence of fixed points of a mapping satisfying locally contractive conditions on a closed ball (see also [8][9][10][11][12][13][14][15][16]). It is also possible that the mapping satisfies locally contractive conditions on a sequence contained in a closed ball in M. One can obtain fixed point results for such a mapping by using the suitable conditions.…”