Recently, Reich and Zaslavski have studied a new inexact iterative scheme for fixed points of contractive and nonexpansive multifunctions. In 2011, Aleomraninejad, et. al. generalized some of their results to Suzuki-type multifunctions.  The study of iterative schemes for various classes of contractive and nonexpansive mappings is a central topic in fixed point theory. The importance of Banach ...

In this paper we present fuzzy coupled fixed point results in the turf of complete b-metric spaces via nonlinear F-contraction; follow derive some interesting as byproducts. Eventually, apply our solving Volterra integral equations and Caputo-Hadamard type fractional differential equations.

Maintaining phosphoric slurry within the optimal temperature range is of great significance in improving the quality of the phosphoric acid product. Due to the lack of integral parts and the limited number of expert rules, general fuzzy controllers are commonly incapable of achieving accurate output. This paper proposed a novel fuzzy controller based on variable universes of discourse (VUD) to ...

The focus of this paper is to establish a new concept b-hybrid fuzzy contraction regarding the study fixed-point theorems in setting b-metric spaces. This idea harmonizes and refines several well-known results direction point-valued, multivalued, fuzzy-set-valued maps comparable literature. To attract researchers field, some important are shown be corollaries. Moreover, result presented suffici...

The operation of base contraction was successfully characterized for a very general class of logics using the notion of remainder sets. Nevertheless, in the general case, this notion is inadequate for revision, where it is replaced by maximal consistent subsets. A natural question is whether this latter notion allows for a definition of contraction-like operators and, in case it does, what diff...

In this paper, some fixed and periodic point theorems are established in fuzzy cone metric space for generalized contraction mappings and the main theorem is justified by a counter example. 2010 AMS Classification: : 54A40, 03E72

We established some theorems under the aim of deriving variants of the Banach contraction principle, using the classes of inner contractions and outer contractions, on the structure of fuzzy modular spaces.