##### Volume 01 (2012)
Special Issue on Fixed Point Theory Fixed point theory
##### 1. Existence of best proximity and fixed points in $G_p$-metric spaces

S. Rathee; K. Dhingra

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

##### 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 ...  Read More

Special Issue on Fixed Point Theory Fixed point theory
##### 2. Some local fixed point results under $C$-class functions with applications to coupled elliptic systems

A. Hojat Ansari; A. Benterki; M. Rouaki

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

##### 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 ...  Read More

Special Issue on Fixed Point Theory Fixed point theory
##### 3. Fixed point theorem for mappings satisfying contractive condition of integral type on intuitionistic fuzzy metric space

M. E. Samei

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

##### 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 ...  Read More

Special Issue on Fixed Point Theory Fixed point theory
##### 4. Common fixed points for a pair of mappings in $b$-Metric spaces via digraphs and altering distance functions

S. K. Mohanta; D. Biswas

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

##### 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 ...  Read More

Special Issue on Fixed Point Theory Fixed point theory
##### 5. Some fixed point results for contractive type mappings in b-metric spaces

I. Eroğlu

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

##### 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 ...  Read More

Special Issue on Fixed Point Theory Fixed point theory
##### 6. Suzuki-Berinde type fixed-point and fixed-circle results on $S$-metric spaces

N. TAŞ

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

##### 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 ...  Read More

Special Issue on Fixed Point Theory Fixed point theory
##### 7. $b-(\varphi, \Gamma)-$graphic contraction on metric space endowed with a graph

Sh. Mirzaee; M. Eshaghi Gordji

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

##### 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 ...  Read More