Some coupled coincidence and common fixed point results for a hybrid pair of mappings in 0-complete partial metric spaces

Wei, Long; Shukla, Satish; Radenović, Stojan; Radojević, Slobodan

doi:10.1186/1687-1812-2013-145

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Cited by 9 publications

(11 citation statements)

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“…On the other hand, at present, coupled fixed point theorems for hybrid pair of mappings were studied by very few authors including ( [1], [21]). …”

Section: Let (Xmentioning

confidence: 99%

Common Coupled Fixed Point Theorems for Two Hybrid Pairs of Mappings Satisfying an Implicit Relation

Deshpande¹,

Handa²

2015

SJM

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Abstract. We establish two common coupled fixed point theorems for two hybrid pairs of mappings satisfying an implicit relation under weak commutativity and w−compatibility on a complete metric space, which is not partially ordered. We do not use the condition of continuity of any mapping for finding the coupled coincidence and common coupled fixed point. We improve, extend and generalize several known results.

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“…On the other hand, at present, coupled fixed point theorems for hybrid pair of mappings were studied by very few authors including ( [1], [21]). …”

Section: Let (Xmentioning

confidence: 99%

Common Coupled Fixed Point Theorems for Two Hybrid Pairs of Mappings Satisfying an Implicit Relation

Deshpande¹,

Handa²

2015

SJM

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“…3 Department of Mathematics, Atilim University, Incek, Ankara 06836, Turkey. 4 Nonlinear Analysis and Applied Mathematics Research Group (NAAM), King Abdulaziz University, Jeddah, Saudi Arabia.…”

Section: Competing Interestsmentioning

confidence: 99%

A new approach to "Equation missing"-contractive nonself multivalued mappings

2014

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“…On the other hand, at present, very few papers were devoted to coupled fixed point problems for hybrid pair of mappings (see [2,22]). …”

mentioning

confidence: 99%

Common coupled fixed point theorems for hybrid pair of mappings satisfying an implicit relation with application

Deshpande

Handa

2015

Afr. Mat.

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We establish some common coupled fixed point theorems satisfying an implicit relation under newly defined weaker conditions for hybrid pair F : X × X → 2 X and g : X → X on a noncomplete metric space, which is not partially ordered. An example supporting to our results has also been cited. As an application the solution of integral equations are obtain here to illustrate the usability of the obtained results. We improve, extend and generalize several known results.

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Some coupled coincidence and common fixed point results for a hybrid pair of mappings in 0-complete partial metric spaces

Abstract: In this paper we extend some coupled coincidence and common fixed point theorems for a hybrid pair of mappings obtained by Abbas et al. (Fixed Point Theory

Cited by 9 publications

References 18 publications

Common Coupled Fixed Point Theorems for Two Hybrid Pairs of Mappings Satisfying an Implicit Relation

Common Coupled Fixed Point Theorems for Two Hybrid Pairs of Mappings Satisfying an Implicit Relation

A new approach to "Equation missing"-contractive nonself multivalued mappings

Common coupled fixed point theorems for hybrid pair of mappings satisfying an implicit relation with application

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