A Fixed Point Theorem In 2-Banach Space For Banach Contraction Principle

In This Paper we prove An Extension of Banach contraction principle through rational expression in 2-Banach space satisfying Three continuous mappings . Some result with S. banach (1922). And discuss about fixed point theory in 2-Banach space also established a fixed point theorem in 2-Banach space which generalized the result of many mathematician. Mathematics Subject classification: 47H10,54H25 Keywords: Banach Space, Common Fixed point, Triangle inequality , Normed space,                2- Normed space, 2-Banach space

Common Fixed Point Theorem for Occasionally Weakly Compatible Mapping in Q-Fuzzy Metric Space

The Fixed Point theory is an important and major topic of the nonlinear functional analysis that deals with the investigation leading to the existence and approximation of a “Fixed Point”. To enhance its literature, the Common Fixed Point Theorem in Q Fuzzy Metric Space, is established as a prime objective of this paper .The goal is achieved by taking four self mappings on a Q Fuzzy Metric Space, satisfying the general contractive condition along with the definition of occasionally weakly compatible. The theorem is also illustrated with example and a unique fixed point is derived. Our result is independent of the continuity requirement of the maps and completeness of the space. Mathematics Subject Classification: 47H10, 54H25 Keywords: Fixed point, Occasionally Weakly Compatible mapping, Q-fuzzy metric spaces

COMMON FIXED POINT THEOREM FOR WEAKLY COMPATIBLE MAPPINGS IN HILBERT SPACE

 In this paper we prove a common fixed point theorem for weakly compatible mappings satisfies certain  contractive condition in non- empty closed subset of a separable Hilbert Space. Our results generalize and extend the result Chauhan [7]

Common coupled fixed point theorems for contractive mappings in fuzzy metric spaces

The purpose of this paper is to give some new fixed point theorems for contractive  type mappings in fuzzy metric spaces. The results presented improve and generalize some recent result. The result is a genuine generalization of the corresponding result of S.Sedghi et al. (2010).   Keywords: Fuzzy metric space, t-norm, g-convergent, coupled common fixed point. 2010 MSC: Primary 54E70; Secondary 54H25

FIXED POINT THEOREM IN FUZZY METRIC SPACE WITH THE PROPERTY

The purpose of this paper is to prove a common fixed point theorem for semi-compatible and occasionally weakly compatible mappings in fuzzy metric space by using the property (E.A.) and implicit relation. Our result generalizes  the result of [14]. Keywords: Fuzzy metric space, property (E.A.), semi-compatible and weakly compatible mappings. 2010 MSC: Primary 54E70; Secondary 54H25

FIXED POINT METRICALLY CONVEX METRIC SPACE

In this paper we establish a fixed point theorem for the hybrid pair of multivalued and single valued nonself JSR mapping in metrically convex metric space. Also we give example in support of the result. Mathematical Subject Classification(2000) 54h25 , 47h10 KeyWords: Metrically Convex metric space, JSR mapping, common fixed point

Fixed Point Theorems in 2- Metric Space with Continuous Convex Structure

In the present paper fixed point theorems are proved for  2- metric spaces with continous convex structure for more generalized conditions. AMS Mathematics Subject Classification (1991): 47H10, 54H25 Key words and phrases: convex metric space, fixed point

Fixed Point Theorem For Weakly Compatible Maps In Fuzzy Metric Space

In this paper, the concept of weakly compatible maps in hausdorff fuzzy metric space has been applied to prove fuzzy fixed point theorems. A fixed point theorems for six self maps has been established using the concept of compatible maps of type hausdorff, which generalizes the result of Cho [1]. Keywords: Fuzzy metric space, fuzzy fixed point, t-norm and weak compatible map