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Chugh, Renu
- Fixed Points for Weakly Compatible Maps in Intuitionistic Fuzzy Metric Spaces through Conditions of Integral Type
Abstract Views :180 |
PDF Views:1
Authors
Renu Chugh
1,
Anju Rani
1
Affiliations
1 Department of Mathematics, M. D. University, Rohtak, IN
1 Department of Mathematics, M. D. University, Rohtak, IN
Source
The Journal of the Indian Mathematical Society, Vol 77, No 1-4 (2010), Pagination: 23-36Abstract
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.- Multiplicative Normed Linear Space and its Topological Properties
Abstract Views :187 |
PDF Views:0
Authors
Affiliations
1 Department of Mathematics, M. D. University, Rohtak - 124001, Haryana, IN
1 Department of Mathematics, M. D. University, Rohtak - 124001, Haryana, IN
Source
Indian Journal of Science and Technology, Vol 10, No 10 (2017), Pagination:Abstract
The aim of this article is to propose a new space called multiplicative normed linear space and discuss different topological properties of this space. We establish equivalence between multiplicative compactness and multiplicative sequentially compactness. Some examples are given which demonstrate the validity of our results. Further we apply our results to prove fixed point existence theorems.Keywords
Multiplicative Continuous Function, Multiplicative Convergent Sequence, Fixed Point Existence Theorems, Multiplicative Normed Linear Space. Mathematics Subject Classification (2010): 46B20, 46B50, 47H10.- Minimal Commutativity and Common Fixed Points
Abstract Views :162 |
PDF Views:0
Authors
Renu Chugh
1,
Sanjay Kumar
1
Affiliations
1 Department of Mathematics, Maharshi Dayanand University, Rohtak-124001, IN
1 Department of Mathematics, Maharshi Dayanand University, Rohtak-124001, IN
Source
The Journal of the Indian Mathematical Society, Vol 70, No 1-4 (2003), Pagination: 169-177Abstract
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.- Common Fixed Points of Four R-Weakly Commuting Mappings
Abstract Views :173 |
PDF Views:0
Authors
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
1 Department of Mathematics, Maharshi Daynand University, Rohtak-124001, IN
2 Department of Mathematics, M.K.J.K. College, Rohtak-124001, IN
Source
The Journal of the Indian Mathematical Society, Vol 70, No 1-4 (2003), Pagination: 185-189Abstract
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.- Weakly Compatible Maps in Probabilistic Metric Spaces
Abstract Views :174 |
PDF Views:0
Authors
Renu Chugh
1,
Savita Rathi
1
Affiliations
1 Department of Mathematics, Maharshi Dayanand University, Rohtak-124001, IN
1 Department of Mathematics, Maharshi Dayanand University, Rohtak-124001, IN