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RESEARCH PRODUCT

Fixed points of α-type F-contractive mappings with an application to nonlinear fractional differential equation

Deepesh Kumar PatelDhananjay GopalCalogero VetroMujahid AbbasMujahid Abbas

subject

Pure mathematicsClass (set theory)General Mathematics010102 general mathematicsMathematical analysisGeneral Physics and AstronomyFixed pointType (model theory)Fixed point01 natural sciencesComplete metric space010101 applied mathematicsNonlinear fractional differential equationsNonlinear fractional differential equationPeriodic pointsSettore MAT/05 - Analisi MatematicaUniqueness0101 mathematicsContraction principleMathematics

description

Abstract In this paper, we introduce new concepts of α-type F-contractive mappings which are essentially weaker than the class of F-contractive mappings given in [21, 22] and different from α-GF-contractions given in [8]. Then, sufficient conditions for the existence and uniqueness of fixed point are established for these new types of contractive mappings, in the setting of complete metric space. Consequently, the obtained results encompass various generalizations of the Banach contraction principle. Moreover, some examples and an application to nonlinear fractional differential equation are given to illustrate the usability of the new theory.

yearjournalcountryeditionlanguage
2016-05-01
10.1016/s0252-9602(16)30052-2http://hdl.handle.net/10447/178772