70 research outputs found
Quadruple Fixed Point Theorems Under Nonlinear Contractive Conditions in Partially Ordered Metric Spaces
No full textMustafa, Zead/0009-0001-7168-3342; KARAPINAR, ERDAL/0000-0002-6798-3254; Shatanawi, Wasfi/0000-0001-7492-4933; Mustafa, Zead/0000-0002-8540-8448We prove a number of quadruple fixed point theorems under phi-contractive conditions for a mapping F : X-4 -> X in ordered metric spaces. Also, we introduce an example to illustrate the effectiveness of our results
Generalized Meir-Keeler Type Contractions on <i>g</I>-metric Spaces
No full textMustafa, Zead/0009-0001-7168-3342; KARAPINAR, ERDAL/0000-0002-6798-3254; Aydi, Hassen/0000-0003-4606-7211; Mustafa, Zead/0000-0002-8540-8448; , Hassen/0000-0003-3896-3809In this manuscript, we introduce generalized Meir-Keeler type contractions over G-metric spaces. Moreover, we show that every orbitally continuous generalized Meir-Keeler type contraction has a unique fixed point on complete G-metric spaces. We illustrate our results by some given examples. (C) 2013 Elsevier Inc. All rights reserved
On Common Fixed Points in <i>g</I>-metric Spaces Using (e.a) Property
No full textKARAPINAR, ERDAL/0000-0002-6798-3254; Aydi, Hassen/0000-0003-4606-7211; Mustafa, Zead/0009-0001-7168-3342; , Hassen/0000-0003-3896-3809; Mustafa, Zead/0000-0002-8540-8448In this paper, we introduce some new types of pairs of mappings (f, g) on G-metric spaces called G-weakly commuting of type G(f) and G-R-weakly commuting of type G(f). We obtain also several common fixed point results by using the (E.A) property. (c) 2012 Elsevier Ltd. All rights reserved
Mixed <i>g</I>-monotone Property and Quadruple Fixed Point Theorems in Partially Ordered Metric Spaces
No full textAydi, Hassen/0000-0003-4606-7211; Mustafa, Zead/0009-0001-7168-3342; KARAPINAR, ERDAL/0000-0002-6798-3254; , Hassen/0000-0003-3896-3809; Mustafa, Zead/0000-0002-8540-8448In this manuscript, we prove some quadruple coincidence and common fixed point theorems for F : X-4 -> X and g : X -> X satisfying generalized contractions in partially ordered metric spaces. Our results unify, generalize and complement various known results from the current literature. Also, an application to matrix equations is given
Coupled coincidence point results on generalized distance in ordered cone metric spaces
No full textMustafa, Zead/0009-0001-7168-3342; Aydi, Hassen/0000-0003-4606-7211; KARAPINAR, ERDAL/0000-0002-6798-3254; Mustafa, Zead/0000-0002-8540-8448; , Hassen/0000-0003-3896-3809In this paper, we establish some coupled coincidence point results in the setting of partially ordered cone metric spaces via -distance. We also proved some related coupled common fixed point theorems for such mappings. Our results generalize, extend, and unify several well-known comparable results in the literature regarding this topic. We present some examples to illustrate the concepts and results
A New Fixed Point Result Via Property P With an Application
No full textMustafa, Zead/0009-0001-7168-3342; KARAPINAR, ERDAL/0000-0002-6798-3254The purpose of this paper is to introduce a new contractive condition. We prove the existence and uniqueness of a fixed point of self-mapping under this new contractive condition. Moreover, we observe analog of these results for the mappings that satisfy the property P. An application on integral equations is presented to illustrate the main result. Our results extend and generalize well-known results in the literature. (C) 2017 All rights reserved
Existence of a tripled coincidence point in ordered Gb-metric spaces and applications to a system of integral equations
No full textIn this paper, tripled coincidence points of mappings satisfying some nonlinear contractive conditions in the framework of partially ordered G b-metric spaces are obtained. Our results extend the results of Aydi et al. (Fixed Point Theory Appl., 2012:101, 2012, doi:10.1186/1687-1812-2012- 101). Moreover, some examples of the main result are given. Finally, some tripled coincidence point results for mappings satisfying some contractive conditions of integral type in complete partially ordered Gb-metric spaces are deduced. 2013 Mustafa et al.; licensee Springer.Scopu
b2-Metric spaces and some fixed point theorems
No full textThe aim of this paper is to establish the structure of [InlineEquation not available: see fulltext.]-metric spaces, as a generalization of 2-metric spaces. Some fixed point results for various contractive-type mappings in the context of ordered [InlineEquation not available: see fulltext.]-metric spaces are presented. We also provide examples to illustrate the results presented herein, as well as an application to integral equations.MSC:47H10, 54H25. 2014, Mustafa et al.; licensee Springer.Scopu
Some New Common Fixed Point Theorems under Strict Contractive Conditions in G-Metric Spaces
No full textWe introduce some new types of pairs of mappings
(,) on G-metric space called G-weakly commuting of type () and G-R-weakly
commuting of type (). We obtain also several common fixed point
results for these mappings under certain contractive condition in G-metric
space. Also some examples illustrated to support our results, and comparison
between different types of pairs of mappings are studied
Fixed Point Theorems for Contractive Mappings in Complete G-Metric Spaces
No full textWe prove some fixed point results for mappings satisfying various contractive conditions on Complete G-metric Spaces. Also the Uniqueness of such fixed point are proved, as well as we showed these mappings are G-continuous on such fixed points
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