A common fixed point theorem for two weakly compatible pairs in G-metric spaces using the property E.A (original) (raw)

Common Fixed Point Theorems in GP-Metric Spaces and Applications

2018

A generalized condition (B) is introduced in the context of GP metric spaces to establish coincidence and common fixed point of discontinuous mappings and utilized to solve the integral equation and the functional equation arising in dynamic programming. Our results are absolutely novel and provide a new dimension in fixed point theory and can not be attained from the available results in the literature. Conclusively two explanatory examples are also furnished for the sake of clarity.

11.A Focus on a Common Fixed Point Theorem using Weakly Compatible Mappings

The purpose of this paper is to present a common fixed point theorem in a metric space which generalizes the result of Bijendra Singh and M.S.Chauhan using the weaker conditions such as Weakly compatible mappings and Associated sequence in place of compatibility and completeness of the metric space.

Unified Metrical Common Fixed Point Theorems in 2-Metric Spaces via an Implicit Relation

Journal of Operators, 2013

We prove some common fixed point theorems for two pairs of weakly compatible mappings in 2-metric spaces via an implicit relation. As an application to our main result, we derive Bryant's type generalized fixed point theorem for four finite families of self-mappings which can be utilized to derive common fixed point theorems involving any finite number of mappings. Our results improve and extend a host of previously known results. Moreover, we study the existence of solutions of a nonlinear integral equation.

Common Fixed Points of Weakly Compatible Mappings in G-Metric Spaces

2012

In this paper, we prove several common fixed points results for pair of weakly compatible mapping satisfying certain contractive conditions on G-metric space. Also we present some examples to support our results. Mathematics Subject Classification: Primary 47H10, Secondary 46B20