The Journal of the Indian Mathematical Society

Sunny Chauhan ¹, Ismat Beg ², B. D. Pant ³

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

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), (CLR_S) Property, (CLR_ST) Property, Weakly Compatible Mappings.

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