On metrical fixed point theorems in symmetric spaces

The aim of this paper is to obtain some common fixed point theorems for weakly compatible mappings in symmetric spaces satisfying generalized -contractive conditions under the common limit range property. Our results generalize and extend some recent results to symmetric spaces and consequently a host of metrical common fixed theorems are generalized and improved. In the process, we also derive a fixed point theorem for four finite families of self-mappings which can be utilized to derive common fixed point theorems involving any number of finite mappings. Some illustrative examples to highlight the realized improvements are also furnished

Common Fixed Point Theorems of Integral Type in Menger Pm Spaces

In this paper, we propose integral type common fixed point theorems in Menger spaces satisfying common property (E.A). Our results generalize several previously known results in Menger as well as metric spaces. Keywords: Menger space; Common property (E.A); weakly compatible pair of mappings and t-norm

A Common Fixed Point Theorem in Fuzzy Metric Spaces with Nonlinear Contractive Type Condition Defined Using Φ-Function

This paper is to present a common fixed point theorem for two R-weakly commuting self-mappings satisfying nonlinear contractive type condition defined using a Φ-function, defined on fuzzy metric spaces. Some comments on previously published results and some examples are given

Common Fixed Point Theorems for Four Self Maps on A Menger Space, Satisfying Common E. A. Property

In this paper, we prove common fixed point theorems for four self maps by using weak compatibility in Menger spaces. Our result extend, generalized several fixed point theorems on Menger spaces. Keywords— Common fixed points, Metric space, Menger space, weak compatible mappings and E. A. property. AMS subject classification– 47H10, 54H25

Common Fixed Point Results for Occasionally Weakly Compatible Maps in G-Symmetric Spaces

The notion of a G-symmetric space is introduced and the common fixed points for some pairs of occasionally weakly compatible maps satisfying some contractive conditions in a G-symmetric space are proved. The results extend and improve some results in literature

Common fixed points of self maps satisfying an integral type contractive condition in fuzzy metric spaces

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 any kind of weakly compatible maps and prove a fixed point theorem for weakly compatible maps along with the notion of any kind of weakly compatible. At the end, we prove a fixed point theorem using variants of R-Weakly commuting mappings in fuzzy metric spaces

COMMON FIXED POINT THEOREMS FOR HYBRID PAIRS OF MAPPINGS USING IMPLICIT RELATIONS IN FUZZY METRIC SPACE

The purpose of this paper is to introduce the notion of a new type of common limit range property for a hybrid pair of single and multivalued mappings in fuzzy metric space and establish some common fixed point theorems satisfying the same property using implicit relations. Some related results are also derived besides furnishing illustrative examples. Further, we also present an integral type common fixed pointtheorem in fuzzy metric space. Our results improve and extend some previously known results

Common Fixed Point Theorem in 2-Menger Space via (S-B) Property

In this paper, first we prove a common fixed point theorem using weakly compatible mapping in 2- Menger space which generalize the well known results. Secondly, we prove a common fixed point theorem using (S-B) property along with weakly compatible maps. (S-B) property defined by Sharma and Bamoria [16] via implicit relation. Keywords: Common fixed points, Metric space, S-B property, 2-Menger space, weakly compatible mapping and implicit relation. AMS subject classification– 47H10, 54H25. DOI: 10.7176/MTM/9-5-01 Publication date:May 31st 201

Fixed Point Theorems in Random Fuzzy Metric Space

In the present paper some fixed point theorems in complete RandomFuzzy metric spaces are established which are generalizations of fuzzy metric spaces for various type mappings. Key Words: Fuzzy metric spaces, Random fuzzy metric spaces, fixed point , Common fixed point . AMS Subject classification 47H10, 54H2