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

OALibJ > Vol.5 No.7, July 2018

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

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DOI: 10.4236/oalib.1104657 846 Downloads 2,397 Views Citations

Author(s)

Jani Dine¹, Kastriot Zoto¹, Arslan H. Ansari²

Affiliation(s)

¹Department of Mathematics and Computer Sciences, Faculty of Natural Sciences, University of Gjirokastra, Gjirokastra, Albania.
¹Department of Mathematics and Computer Sciences, Faculty of Natural Sciences, University of Gjirokastra, Gjirokastra, Alba-nia.
²Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran.

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.

KEYWORDS

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

Share and Cite:

Dine, J. , Zoto, K. and Ansari, A. (2018) Fixed Point Results of Contractive Mappings by Altering Distances and C-Class Functions in b-Dislocated Metric Spaces. Open Access Library Journal, 5, 1-23. doi: 10.4236/oalib.1104657.

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