Some Fixed Point Theorems of Ćirić Type in Fuzzy Metric Spaces

Abstract

The main aim of the current paper is the investigation of possibilities for improvements and generalizations contractive condition of Ćirić in the fuzzy metric spaces. Various versions of fuzzy contractive conditions are studied in two directions. First, motivated by recent results, more general contractive conditions in fuzzy metric spaces are achieved and secondly, quasi-contractive type of mappings are investigated in order to obtain fixed point results with a wider class of t-norms.

A Solution of Fredholm Integral Inclusions via Suzuki-Type Fuzzy Contractions

“…He established a fuzzy expansion of Banach contraction principle. It broadens and develops the concept of fuzzy fixed point theory, and several authors worked in this field afterward ( [3][4][5][6][7] and references therein).…”

A Characterization of Strong Completeness in Fuzzy Metric Spaces

“…A generalization of Th is reached if one is able to prove that Th is also satisfied when completeness is replaced by strong completeness. To this end, the reader can find fixed point theorems established for complete fuzzy metric spaces in recent publications (see, for instance, [11,[26][27][28][29][30] and references therein). Now, this line of investigation is close to the following unsolved question (posed in [15], Problem 4.6): Characterize those fuzzy metric spaces in which Cauchy sequences are strong Cauchy.…”

Coupled Fixed Point Theorems Employing CLR-Property on V -Fuzzy Metric Spaces

“…Motivated by different concepts introduced by many eminent mathematicians in [22][23][24][25][26][27], we investigate and give the concept of CLR Ω -property on V-fuzzy metric spaces. Further, we study some fixed point theorems for the pair of mappings by using CLR Ω -property.…”