The purpose of this paper is to study common fixed point theorems for six (four single-valued and two set-valued) mappings in fuzzy metric space using general contractive condition of integral type, without assuming compatibility and continuity of any mapping on non complete metric spaces. To prove the theorems, we use a non compatible condition, that is, weak commutativity of type (Kh)in fuzzy...

In this paper, common fixed point theorems for occasionally weakly compatible mappings in intuitionistic fuzzy metric space has been proved which is a generalization of the result Turkoglu et. al. [9]. We also cited an example support our result.

*Correspondence: [email protected] Accounting School, Zhejiang University of Finance and Economics, Hangzhou, 310018, China Abstract By using R-weak commutativity of type (Ag) and non-compatible conditions of self-mapping pairs in generalized metric space, without the conditions for the completeness of space and the continuity of mappings, we establish some new common fixed point theorems for t...

The intent of this paper is to extend the notions of occasionally weakly compatible mappings, subcompatibility and subsequential continuity in framework of generalized metric spaces and prove some common fixed point theorems. We give some examples which demonstrate the validity of the hypotheses and degree of generality of our results. Our results are independent of the continuity requirement o...

* Correspondence: [email protected] Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia Abstract Using the notion of compatible mappings in the setting of a partially ordered metric space, we prove the existence and uniqueness of coupled coincidence points involving a (j, ψ)-contractive condition for a mappings having the mixed g-monotone propert...

This paper is twofold. First we prove a common fixed point theorem for a pair of weakly compatible mappings along with E.A. property. This theorem improves and generalizes a result of Jungck [5] without any continuity requirement besides relaxing the containment of the range of one map into the range of other map. Moreover, we prove some results under different variants of R-weakly commuting ma...

*Correspondence: [email protected]; [email protected] 3Department of Mathematics, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), Bangkok, 10140, Thailand Full list of author information is available at the end of the article Abstract In this paper, we introduce the concepts ofW-compatible mappings for mappings F : X × X × X → X and g : X → X , where (X ,d) ...

The set-up we work with here consists of non-empty sets S and X, a mapping f : S × X → X and an element x0 ∈ X. The mapping f will also be regarded as a family of mappings {fs}s∈S, where fs : X → X is given by fs(x) = f(s, x) for all x ∈ X. A subset X ′ of X is said to be f -invariant if f(S ×X ) ⊂ X , i.e., if fs(X ) ⊂ X ′ for each s ∈ S, and the mapping f is said to be minimal if the only f -...

In this note a common fixed point theorem for weakly compatible mappings in a metric space is proved which, improves the results of Ciric [3], Fisher [4], Pant [8],[9] and Popa et al.[10]. Resumen. En esta nota se prueba un teorema de punto fijo común para las funciones débilmente compatibles en un espacio métrico que mejora los resultados de Ciric [3], Fisher [4], Pant [8],[9] y Popa et al.[10].

In this paper, first we prove fixed point theorems for different variant of compatible maps, satisfying a contractive condition of integral type in fuzzy metric spaces, which improve the results of Branciari [2], Rhoades [33], Kumar et al. [23], Subramanyam [35] and results of various authors cited in the literature of ”Fixed Point Theory and Applications”. Secondly, we introduce the notion of ...