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Fixed points of weakly compatible mappings satisfying generalized $\varphi$-weak contractions

Calogero VetroSunny ChauhanWasfi ShatanawiErdal Karapınar

subject

Discrete mathematicsWeakly compatibleProperty (philosophy)(CLR_{ST}) property(CLR_S) propertyGeneral Mathematicsmetric spaceFixed pointType (model theory)weakly compatible mappingRange (mathematics)Metric spacefixed pointSettore MAT/05 - Analisi MatematicaCommon fixed pointLimit (mathematics)Mathematics

description

In this paper, utilizing the notion of the common limit range property, we prove some new integral type common fixed point theorems for weakly compatible mappings satisfying a \(\varphi \)-weak contractive condition in metric spaces. Moreover, we extend our results to four finite families of self mappings, and furnish an illustrative example and an application to support our main theorem. Our results improve, extend, and generalize well-known results on the topic in the literature.

yearjournalcountryeditionlanguage
2014-12-17
10.1007/s40840-014-0074-0http://hdl.handle.net/10447/140240