Fixed Point Theorems via Absorbing Maps (original) (raw)

Fixed Point Theorems in Fuzzy Metric Space via Absorbing Mappings

2013

In this paper, the concept of absorbing maps in fuzzy metric space has been introduced to prove common fixed point theorems. Our results extend, generalize, fuzzyify several fixed point theorems on metric spaces, Menger Probabilistic Metric spaces, Fuzzy metric spaces as well as the result of Singh et. al. [11] and many. We also cited an example in support of our result.

Fixed Point Theorem in FUZZY-2 Metric Space Using Absorbing Maps

Ranadive et al. [1] proved fixed point theorem in metric space by introducing the definition of absorbing maps stating that absorbing maps are neither a sub-class of compatible maps nor a sub-class of non-compatible maps. Motivated by this here we prove a fixed point theorem using four absorbing mappings in fuzzy 2-metric space which satisfy the condition of reciprocal continuity.

SOME COMMON FIXED POINT THEOREMS IN FUZZY METRIC SPACES USING COMPATIBILITY OF MAPPINGS

isara solutions, 2024

In this paper, we use the concept of compatible mappings of type (*) to provide proofs for a class of fixed point theorems in M-fuzzy metric spaces that involve a rational term. Numerous intriguing results have been obtained by different writers in their investigation of common fixed points of mapping that satisfy some contractive type requirement. Assuming weak commutativity of mappings is a common theme in these studies; most of them are concerned with commuting mappings. Our result generalizes several key fixed point theorems, paving the way for more research into ubiquitous fixed points in contractive settings. The fixed point in fuzzy metric spaces can then be located by exploring the no fixed point theorems.

Common fixed points of maps on fuzzy metric spaces

International Journal of Mathematics and Mathematical Sciences, 1994

Following Grabiec's approach to fuzzy contraction principle, the purpose of this note is to obtain common fixed point theorems for asymptotically commuting maps on fuzzy metric spaces.

Generalized fixed point theorems for compatible mappings with some types in fuzzy metric spaces

Chaos, Solitons & Fractals, 2009

In this paper, we give some new definitions of compatible mappings of types (I) and (II) in fuzzy metric spaces and prove some common fixed point theorems for four mappings under the condition of compatible mappings of types (I) and (II) in complete fuzzy metric spaces. Our results extend, generalize and improve the corresponding results given by many authors.

A Common Fixed Point Theorem in Fuzzy Metric Spaces

International Journal of Mathematics Trends and Technology- Volume27 Number1 – November 2015, 2015

In this paper, we prove a common fixed point theorem for weakly compatible mappings in a fuzzy metric space which generalize and unify the several results.

A fixed point theorem for a family of mappings in a fuzzy metric space

Rendiconti Del Circolo Matematico Di Palermo, 2003

In this paper we give a common fixed point theorem for a family of mappings of a G-complete fuzzy metric space (X, M, *) into itself. From this result we deduce a common fixed point theorem for a family of mappings of a complete metric space (X, d) into itself.