scholarly journals Fixed point theorems for (φ-ψ) contractions in partially ordered metric-like spaces using new auxiliary functions

Filomat ◽  
2018 ◽  
Vol 32 (3) ◽  
pp. 715-732
Author(s):  
Xiaolan Liu ◽  
Mi Zhou ◽  
Arslan Ansari ◽  
Nawab Hussain
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Case Examples ◽  
Partially Ordered ◽  
Auxiliary Functions

In this paper, we introduce a class of new auxiliary functions and establish certain fixed point theorems under (?-?) contractive conditions in partially ordered metric-like spaces. Our work generalizes some results in the literature and assumes some as particular case. Examples are provided to support the useability of our results.

scholarly journals Fixed Point Theorems via Auxiliary Functions

2012 ◽  
Vol 2012 ◽  
pp. 1-9 ◽  
Author(s):  
Erdal Karapınar ◽  
Peyman Salimi
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Ordered Metric Spaces ◽  
Partially Ordered Metric Spaces ◽  
Partially Ordered ◽  
Auxiliary Functions

We prove new fixed point theorems in the framework of partially ordered metric spaces. The main result is an extension and a generalization of many existing results in the literature. An example is also considered to illustrate the main result.

scholarly journals Some New Coupled Coincidence Point and Coupled Fixed Point Results in Partially Ordered Metric-Like Spaces and an Application

2018 ◽  
Vol 2018 ◽  
pp. 1-13 ◽  
Author(s):  
Min Liang ◽  
Chuanxi Zhu ◽  
Zhaoqi Wu ◽  
Chunfang Chen
Keyword(s):  
Fixed Point ◽  
Integral Equations ◽  
Fixed Point Theorems ◽  
Coincidence Point ◽  
Coupled Fixed Point ◽  
Coupled Coincidence Point ◽  
Nonlinear Integral Equations ◽  
Partially Ordered ◽  
Coupled Coincidence

Some new coupled coincidence point and coupled fixed point theorems are established in partially ordered metric-like spaces, which generalize many results in corresponding literatures. An example is given to support our main results. As an application, we discuss the existence of the solutions for a class of nonlinear integral equations.

scholarly journals Some tripled coincidence point theorems for almost generalized contractions in ordered metric spaces

2012 ◽  
Vol 44 (3) ◽  
pp. 233-251 ◽  
Author(s):  
Erdal KARAPINAR ◽  
Hassen AYDI ◽  
Zead MUSTAFA
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Ordered Metric Spaces ◽  
Tripled Fixed Point ◽  
Partially Ordered Metric Spaces ◽  
Partially Ordered ◽  
Nonlinear Anal ◽  
Contractive Type ◽  
Common Fixed Point Theorems

In this paper, we prove tripledcoincidence and common fixed point theorems for $F: X\times X\times X\to X$ and $g:X\to X$ satisfying almost generalized contractions in partially ordered metric spaces. The presented results generalize the theorem of Berinde and Borcut Tripled fixed point theorems for contractive type mappings in partially ordered metric spaces, Nonlinear Anal 74(15) (2011)4889--4897. Also, some examples are presented.

scholarly journals Multiple fixed point theorems for contractive and Meir-Keeler type mappings defined on partially ordered spaces with a distance

2017 ◽  
Vol 18 (2) ◽  
pp. 317 ◽  
Author(s):  
Mitrofan M Choban ◽  
Vasile Berinde
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
General Concept ◽  
Type Condition ◽  
Partially Ordered ◽  
Monotonicity Properties ◽  
Contraction Type ◽  
Partially Ordered Spaces

<p>We introduce and study a general concept of multiple fixed point for mappings defined on partially ordered distance spaces in the presence of a contraction type condition and appropriate monotonicity properties. This notion and the obtained results complement the corresponding ones from [M. Choban, V. Berinde, A general concept of multiple fixed point for mappings defined on  spaces with a distance, Carpathian J. Math. 33 (2017), no. 3, 275--286] and also simplifies some concepts of multiple fixed point considered by various authors in the last decade or so.</p>

Sign in / Sign up

Export Citation Format

Share Document