The Journal of the Indian Mathematical Society

Renu Chugh ¹, Anju Rani ¹

Affiliations
1 Department of Mathematics, M. D. University, Rohtak, IN

Abstract

In this paper, we prove a common fixed point theorem for weakly compatible mappings using contractive condition of integral type in an intuitionistic fuzzy metric space. Our result generalizes many known results and explore the possibility of the notion of reciprocal continuity and weakly compatible maps to the problem of finding common fixed point of four mappings.

Keywords

Multiobjective Fractional Programming, Parametrization Fuzzy Set, Intuitionistic Fuzzy Metric Space, Weakly Compatible, Integral Type.

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Renu Chugh ¹, Sanjay Kumar ¹

Affiliations
1 Department of Mathematics, Maharshi Dayanand University, Rohtak-124001, IN

Abstract

The purpose of this paper is to prove a common fixed point theorem, from the class of compatible continuous mappings to a larger class of mappings having non-compatible and discontinuous mappings, which generalizes the result of Jungck, Fisher, Kang and Kim, Jachymski, Rhoades and Pant.

Keywords

R-Weak Commutativity, Reciprocal Continuity, Compatible Mappings.

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Renu Chugh ¹, Savita ²

Affiliations
1 Department of Mathematics, Maharshi Daynand University, Rohtak-124001, IN
2 Department of Mathematics, M.K.J.K. College, Rohtak-124001, IN

Abstract

The intent of this paper is to prove a common fixed point theorem, from the class of compatible continuous mappings to a larger class of mappings having non-compatible and pointwise R-weakly commuting mappings which generalizes the results of Singh and Chauhan.

Keywords

R-Weakly Commuting Mappings, Reciprocally Continuous and Compatible Mappings.

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Renu Chugh ¹, Savita Rathi ¹

Affiliations
1 Department of Mathematics, Maharshi Dayanand University, Rohtak-124001, IN

Abstract

In this paper, we prove common fixed point theorems for six mappings from a class of compatible continuous mappings to a larger class of mappings having weakly compatible maps, without appeal to continuity in probabilistic metric space, which generalizes the result of Mishra [11] and Xieping [ 18]. At the end, we provide an example in support of our theorem.

Keywords

Probabilistic Metric Spaces, Weakly Compatible.

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