**Volume 09 (2020)**

**Volume 08 (2019)**

**Volume 07 (2018)**

**Volume 06 (2017)**

**Volume 05 (2016)**

**Volume 04 (2015)**

**Volume 03 (2014)**

**Volume 02 (2013)**

**Volume 01 (2012)**

# Main Subjects = Fixed point theory
Number of Articles: 31

##### 1. $S$-metric and fixed point theorem

*Volume 09, Issue 03 , Summer 2020, , Pages 213-220*

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**Abstract **

In this paper, we prove a general fixed point theorem in $\textrm{S}$-metric spaces for maps satisfying an implicit relation on complete metric spaces. As applications, we get many analogues of fixed point theorems in metric spaces for $\textrm{S}$-metric spaces.
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##### 2. Integral type contraction and coupled fixed point theorems in ordered G-metric spaces

*Volume 09, Issue 02 , Spring 2020, , Pages 113-120*

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**Abstract **

In this paper, we apply the idea of integral type contraction and prove some coupled fixed point theorems for such contractions in ordered $G$-metric space. Also, we support the main results by an illustrative example.
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##### 3. Common fixed point results for graph preserving mappings in parametric $N_b$-metric spaces

*Volume 09, Issue 02 , Spring 2020, , Pages 165-183*

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**Abstract **

In this paper, we discuss the existence and uniqueness of points of coincidence and common fixed points for a pair of graph preserving mappings in parametric $N_b$-metric spaces. As some consequences of this study, we obtain several important results in parametric $b$-metric spaces, parametric $S$-metric ...
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##### 4. Fixed point results for Su-type contractive mappings with an application

*Volume 09, Issue 01 , Winter 2020, , Pages 53-65*

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**Abstract **

In this paper, we introduce the concept of Su-type contractive mapping and establish fixed point theorems for such mappings in the setting of ordered extended partial $b$-metric space. We also develop an application for Fredholm type integral equations ...
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##### 5. Multi-valued fixed point theorems in complex valued $b$-metric spaces

*Volume 09, Issue 01 , Winter 2020, , Pages 75-94*

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**Abstract **

The aim of this paper is to establish and prove some results on common fixed point for a pair of multi-valued mappings in complex valued $b$-metric spaces. Our results generalize and extend a few results in the literature.
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##### 6. $C$-class functions on common fixed point theorems for weak contraction mapping of integral type in modular spaces

*Volume 08, Issue 04 , Autumn 2019, , Pages 265-285*

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**Abstract **

In this paper, we use the concept of $C$-class functions introduced by Ansari [4] to prove the existence and uniqueness of common fixed point for self-mappings in modular spaces of integral inequality. Our results extended and generalized ...
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##### 7. $(F,\varphi ,\alpha )_{s}$-contractions in $b$-metric spaces and applications

*Volume 08, Issue 03 , Summer 2019, , Pages 173-182*

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**Abstract **

In this paper, we introduce more general contractions called $\varphi $-fixed point point for $(F,\varphi ,\alpha )_{s}$ and $(F,\varphi ,\alpha )_{s}$-weak contractions. We prove the existence and uniqueness of $\varphi $-fixed point ...
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##### 8. Generalized hyperstability of the cubic functional equation in ultrametric spaces

*Volume 08, Issue 02 , Spring 2019, , Pages 97-104*

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**Abstract **

In this paper, we present the generalized hyperstability results of cubic functional equation in ultrametric Banach spaces using the fixed point method.
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##### 9. $ b-(\varphi, \Gamma)-$graphic contraction on metric space endowed with a graph

*Volume 07, Issue 03 , Summer 2018, , Pages 245-250*

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**Abstract **

In this paper, we introduce the $ b-(\varphi, \Gamma)-$graphic contraction on metric space endowed with a graph so that $(M,\delta)$ is a metric space, and $V(\Gamma)$ is the vertices of $\Gamma$ coincides with $M$. We aim to obtain some new fixed-point results for such contractions. We give an example ...
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##### 10. Some fixed point results for contractive type mappings in b-metric spaces

*Volume 07, Issue 03 , Summer 2018, , Pages 219-231*

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**Abstract **

In this work, we prove some fixed point theorems by using $wt$-distance on b-metric spaces. Our results generalize some fixed point theorems in the literature. Moreover, we introduce $wt_0$-distance and by using the concept of $wt_0$-distance, we obtain some coupled fixed point results in complete b-metric ...
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##### 11. Common fixed points for a pair of mappings in $b$-Metric spaces via digraphs and altering distance functions

*Volume 07, Issue 03 , Summer 2018, , Pages 201-218*

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**Abstract **

In this paper, we discuss the existence and uniqueness of points of coincidence and common fixed points for a pair of self-mappings satisfying some generalized contractive type conditions in $b$-metric spaces endowed with graphs and altering distance functions. Finally, some examples are provided ...
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##### 12. Fixed point theorem for mappings satisfying contractive condition of integral type on intuitionistic fuzzy metric space

*Volume 07, Issue 03 , Summer 2018, , Pages 183-199*

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**Abstract **

In this paper, we shall establish some fixed point theorems for mappings with the contractive condition of integrable type on complete intuitionistic fuzzy metric spaces $(X, M,N,*,\lozenge)$. We also use Lebesgue-integrable mapping to obtain new results. Akram, Zafar, and Siddiqui introduced the ...
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##### 13. Some local fixed point results under $C$-class functions with applications to coupled elliptic systems

*Volume 07, Issue 03 , Summer 2018, , Pages 169-182*

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**Abstract **

The main objective of the paper is to state newly fixed point theorems for set-valued mappings in the framework of 0-complete partial metric spaces which speak about a location of a fixed point with respect to an initial value of the set-valued mapping by using some $C$-class functions. The results proved ...
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##### 14. Suzuki-Berinde type fixed-point and fixed-circle results on $S$-metric spaces

*Volume 07, Issue 03 , Summer 2018, , Pages 233-244*

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**Abstract **

In this paper, the notions of a Suzuki-Berinde type $F_{S}$-contraction and a Suzuki-Berinde type $F_{C}^{S}$-contraction are introduced on a $S$-metric space. Using these new notions, a fixed-point theorem is proved on a complete $S$-metric space and a fixed-circle theorem is established on ...
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##### 15. Existence of best proximity and fixed points in $G_p$-metric spaces

*Volume 07, Issue 03 , Summer 2018, , Pages 155-168*

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**Abstract **

In this paper, we establish some best proximity point theorems using new proximal contractive mappings in asymmetric $G_{p}$-metric spaces. Our motive is to find an optimal approximate solution of a fixed point equation. We provide best proximity points for cyclic contractive mappings in $G_{p}$-metric ...
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##### 16. Fixed points of weak $\psi$-quasi contractions in generalized metric spaces

*Volume 06, Issue 04 , Autumn 2017, , Pages 323-329*

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**Abstract **

In this paper, we introduce the notion of weak $\psi$-quasi contraction in generalized metric spaces and using this notion we obtain conditions for the existence of fixed points of a self map in $D$-complete generalized metric spaces. We deduce some corollaries from our result and provide examples in ...
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##### 17. A fixed point method for proving the stability of ring $(\alpha, \beta, \gamma)$-derivations in $2$-Banach algebras

*Volume 06, Issue 04 , Autumn 2017, , Pages 269-276*

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**Abstract **

In this paper, we first present the new concept of $2$-normed algebra. We investigate the structure of this algebra and give some examples. Then we apply a fixed point theorem to prove the stability and hyperstability of $(\alpha, \beta, \gamma)$-derivations in $2$-Banach algebras.
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##### 18. A solution of nonlinear fractional random differential equation via random ﬁxed point technique

*Volume 06, Issue 04 , Autumn 2017, , Pages 277-287*

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**Abstract **

In this paper, we investigate a new type of random $F$-contraction and obtain a common random fixed point theorem for a pair of self stochastic mappings in a separable Banach space. The existence of a unique solution for nonlinear fractional random differential equation is proved under suitable conditions.
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##### 19. On some open problems in cone metric space over Banach algebra

*Volume 06, Issue 04 , Autumn 2017, , Pages 261-267*

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**Abstract **

In this paper we prove an analogue of Banach and Kannan fixed point theorems by generalizing the Lipschitz constat $k$, in generalized Lipschitz mapping on cone metric space over Banach algebra, which are answers for the open problems proposed by Sastry et al, [K. P. R. Sastry, G. A. Naidu, T. Bakeshie, ...
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##### 20. Common best proximity points for $(\psi-\phi)$-generalized weak proximal contraction type mappings

*Volume 06, Issue 04 , Autumn 2017, , Pages 289-300*

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**Abstract **

In this paper, we introduce a pair of generalized proximal contraction mappings and prove the existence of a unique best proximity point for such mappings in a complete metric space. We provide examples to illustrate our result. Our result extends some of the results in the literature.
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##### 21. Coincidence points and common fixed points for hybrid pair of mappings in b-metric spaces endowed with a graph

*Volume 06, Issue 04 , Autumn 2017, , Pages 301-321*

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**Abstract **

In this paper, we introduce the notion of strictly (α,ψ,ξ)-G-contractive mappings in b-metric spaces endowed with a graph G. We establish a sufficient condition for existence and uniqueness of points of coincidence and common fixed points for such mappings. Our results extend and unify many ...
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##### 22. Fixed point theory in generalized orthogonal metric space

*Volume 06, Issue 03 , Summer 2017, , Pages 251-260*

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**Abstract **

In this paper, among the other things, we prove the existence and uniqueness theorem of fixed point for mappings on a generalized orthogonal metric space. As a consequence of this, we obtain the existence and uniqueness of fixed point of Cauchy problem for the first order differential equation.
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##### 23. Unique common coupled fixed point theorem for four maps in $S_b$-metric spaces

*Volume 06, Issue 01 , Winter 2017, , Pages 29-43*

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**Abstract **

In this paper we prove a unique common coupled fixed point theorem for two pairs of $w$-compatible mappings in $S_b$-metric spaces satisfying a contrctive type condition. We furnish an example to support our main theorem. We also give a corollary for Junck type maps.
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##### 24. New best proximity point results in G-metric space

*Volume 06, Issue 01 , Winter 2017, , Pages 73-89*

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**Abstract **

Best approximation results provide an approximate solution to the fixed point equation $Tx=x$, when the non-self mapping $T$ has no fixed point. In particular, a well-known best approximation theorem, due to Fan cite{5}, asserts that if $K$ is a nonempty compact convex subset of a Hausdorff locally ...
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##### 25. Coupled fixed point theorems involving contractive condition of integral type in generalized metric spaces

*Volume 06, Issue 01 , Winter 2017, , Pages 45-53*