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Impact of (CLRST) Property and Existence of Fixed Points Using Implicit Relations


Affiliations
1 Near Nehru Training Centre, H. No. 274, Nai Basti B-14, Bijnor-246 701, Uttar Pradesh, India
2 University of Central Punjab, Lahore-54770, Pakistan
3 Government Degree College, Champawat-262 523, Uttarakhand, India
     

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In this paper, we utilize the notion of "common limit range property" and prove common fixed point theorems for weakly compatible mappings in Menger spaces satisfying implicit relations. We give some examples to support the useability of our main results. Our results improve and generalize several previously known fixed point theorems in the existing literature.

Keywords

T-Norm, Menger Space, Property (E.A), Common Property (E.A), (CLRS) Property, (CLRST) Property, Weakly Compatible Mappings.
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  • Impact of (CLRST) Property and Existence of Fixed Points Using Implicit Relations

Abstract Views: 202  |  PDF Views: 0

Authors

Sunny Chauhan
Near Nehru Training Centre, H. No. 274, Nai Basti B-14, Bijnor-246 701, Uttar Pradesh, India
Ismat Beg
University of Central Punjab, Lahore-54770, Pakistan
B. D. Pant
Government Degree College, Champawat-262 523, Uttarakhand, India

Abstract


In this paper, we utilize the notion of "common limit range property" and prove common fixed point theorems for weakly compatible mappings in Menger spaces satisfying implicit relations. We give some examples to support the useability of our main results. Our results improve and generalize several previously known fixed point theorems in the existing literature.

Keywords


T-Norm, Menger Space, Property (E.A), Common Property (E.A), (CLRS) Property, (CLRST) Property, Weakly Compatible Mappings.