Search results for " contractive condition of integral type."

showing 3 items of 3 documents

An Integral Version of Ćirić’s Fixed Point Theorem

2011

We establish a new fixed point theorem for mappings satisfying a general contractive condition of integral type. The presented theorem generalizes the well known Ciric's fixed point theorem [Lj. B. Ciric, Generalized contractions and fixed point theorems, Publ. Inst. Math. 12 (26) (1971) 19-26]. Some examples and applications are given.

AlgebraPure mathematicsSchauder fixed point theoremPicard–Lindelöf theoremSettore MAT/05 - Analisi MatematicaGeneral MathematicsFixed-point theoremType (model theory)Fixed pointBrouwer fixed-point theoremKakutani fixed-point theoremComplete metric space $\lambda$-generalized contraction fixed point contractive condition of integral type.MathematicsMediterranean Journal of Mathematics
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Common fixed point theorems of integral type for OWC mappings under relaxed condition

2017

In this paper, we prove a common fixed point theorem for a pair of occasionally weakly compatible (owc) self mappings satisfying a mixed contractive condition of integral type without using the triangle inequality. We prove also analogous results for two pairs of owc self mappings by assuming symmetry only on the set of points of coincidence. These results unify, extend and complement many results existing in the recent literature. Finally, we give an application of our results in dynamic programming.

Common fixed points Weakly compatible mappings Occasionally weakly compatible mappings Contractive condition of integral type Symmetric spacesSettore MAT/05 - Analisi Matematica
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On Branciari’s theorem for weakly compatible mappings

2010

AbstractIn a recent paper B. Samet and H. Yazidi [B. Samet, H. Yazidi, An extension of Banach fixed point theorem for mappings satisfying a contractive condition of integral type, Ital. J. Pure Appl. Math. (in press)] have obtained an interesting theorem for mappings satisfying a contractive condition of integral type. The aim of this note is to present a generalization of their main result.

Discrete mathematicsWeakly compatibleGeneralizationBanach fixed-point theoremApplied MathematicsFixed-point theoremWeakly compatible mappingsExtension (predicate logic)Type (model theory)Common fixed pointContractive condition of integral typeCommon fixed point Weakly compatible mappings Contractive condition of integral typeSettore MAT/05 - Analisi MatematicaCommon fixed pointMathematicsApplied Mathematics Letters
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