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#### Generalized contractions on partial metric spaces

(Elsevier Science Bv, 2010)

In the present paper, we give some fixed point theorems for generalized contractive type mappings on partial metric space. Also, a homotopy result is given. (C) 2010 Elsevier B.V. All rights reserved.

#### SOME FIXED POINT THEOREMS FOR WEAKLY COMPATIBLE MAPPINGS SATISFYING AN IMPLICIT RELATION

(Mathematical Soc Rep China, 2009)

In this paper, we prove a common fixed point theorem for weakly compatible mappings satisfying an implicit relation. Our theorem generalizes many fixed point theorems.

#### A COMMON FIXED POINT THEOREM FOR MULTIVALUED CIRIC TYPE MAPPINGS WITH NEW TYPE COMPATIBILITY

(Ovidius Univ Press, 2009)

Kaneko and Sessa defined the concept of compatibility for multivalued mappings with Hausdorff metric and proved a coincidence point theorem. After then, Pathak defined the concept of weak compatibility and proved a coincidence ...

#### Application of the Leray-Schauder alternative to nonlinear singular operator equations

(Pergamon-Elsevier Science Ltd, 2009)

In this paper, we study the problem of existence of solution of nonlinear singular integral equations of the form {w(z) = Phi(z) + T(G)F (., w (.), h (.)) (z) h(z) = Phi'(z) + Pi(G)F (., w (.), h (.)) (z), z is an element ...

#### Ordered cone metric spaces and fixed point results

(Pergamon-Elsevier Science Ltd, 2010)

In this paper, we introduce a partial order on a cone metric space and prove a Caristi-type theorem. Furthermore, we prove fixed point theorems for single-valued nondecreasing and weakly increasing mappings, and multi-valued ...

#### A related fixed point theorem for maps in two S-complete Hausdorff uniform spaces

(Ios Press, 2014)

The purpose of this paper is to prove a related fixed point in S-complete Hausdorff uniform space. For this we use the concept of E-distance, which is introduced by Aamri and El-Moutawakil [1, 2], in uniform space and some ...

#### Two Suzuki Type Fixed Point Theorems on Partial Metric Spaces

(Springer Singapore Pte Ltd, 2015)

Recently, Paesano and Vetro (Topol. Appl. 159: 911-920, 2012) have been studied Suzuki type fixed point theorem on partial metric spaces. In this paper, we will give Kannan type of this theorem on partial metric spaces.

#### A Fixed Point Theorem for New Type Contractions on Weak Partial Metric Spaces

(Springer Singapore Pte Ltd, 2015)

Recently, Karapinar and Romaguera (Filomat 27: 1305-1314, 2013) have introduced a new type contraction on partial metric spaces, and they have obtained a nonunique fixed point result. Then Romaguera (Math. Sci. Appl. E-Notes ...

#### A Fixed Point Theorem for Multivalued Mappings with delta-Distance

(Hindawi Publishing Corporation, 2014)

We mainly study fixed point theorem for multivalued mappings with delta-distance using Wardowski's technique on complete metric space. Let (X, d) be a metric space and let B(X) be a family of all nonempty bounded subsets ...

#### Fixed Point Theorems for Generalized Weakly Contractive Condition in Ordered Metric Spaces

(Springer International Publishing Ag, 2011)

Fixed point results with the concept of generalized weakly contractive conditions in complete ordered metric spaces are derived. These results generalize the existing fixed point results in the literature.