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Fixed Point Results of Contractive Mappings by Altering Distances and C-Class Functions in b-Dislocated Metric Spaces

DOI: 10.4236/oalib.1104657, PP. 1-23

Subject Areas: Mathematical Analysis, Functional Analysis

Keywords: Contraction, C-Class Functions, Dislocated Metric Space, Coincidence Point, Common Fixed, Altering Distance Functions, Weakly Compatible Maps

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Abstract

In this work, we recall definition of functions called as C-class and use the concepts of dislocated metric, b-dislocated metric, altering distance function. We prove some coincidence, fixed and common fixed point results for two pairs of weakly compatible mappings under-contractive conditions and contractive conditions depended on another function T. Our theorems extend and generalize related results in the literature.

Cite this paper

Dine, J. , Zoto, K. and Ansari, A. H. (2018). Fixed Point Results of Contractive Mappings by Altering Distances and C-Class Functions in b-Dislocated Metric Spaces. Open Access Library Journal, 5, e4657. doi: http://dx.doi.org/10.4236/oalib.1104657.

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