scholarly journals Fixed Point Results for Orthogonal Z-Contraction Mappings in O-Complete Metric Spaces

2020 ◽  
Vol 10 (1) ◽  
pp. 33-40
Author(s):  
Kanokwan Sawangsup ◽  
◽  
Wutiphol Sintunavarat
Keyword(s):  
Fixed Point ◽  
Metric Spaces ◽  
Contraction Mappings ◽  
Complete Metric Spaces

Fixed point theorems and convergence theorems for some monotone generalized nonexpansive mappings

2020 ◽  
Vol 36 (2) ◽  
pp. 199-204
Author(s):  
M. R. ALFURAIDAN ◽  
M. A. KHAMSI ◽  
◽  
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Nonexpansive Mappings ◽  
Convergence Theorems ◽  
Contraction Mappings ◽  
Complete Metric Spaces ◽  
Coincidence Fixed Point

We present some new coincidence fixed point theorems for generalized multi-valued weak Γ-contraction mappings. Our outcomes extend several recent results in the framework of complete metric spaces endowed with a graph. Two illustrative examples are included and some consequences are derived.

scholarly journals On some fixed point theorems for multivalued F-contractions in partial metric spaces

2021 ◽  
Vol 54 (1) ◽  
pp. 151-161
Author(s):  
Santosh Kumar ◽  
Sholastica Luambano
Keyword(s):  
Integral Equation ◽  
Fixed Point ◽  
Fixed Points ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Partial Metric ◽  
Existence Of A Solution ◽  
Contraction Mappings ◽  
Complete Metric Spaces ◽  
Partial Metric Spaces

Abstract Altun et al. explored the existence of fixed points for multivalued F F -contractions and proved some fixed point theorems in complete metric spaces. This paper extended the results of Altun et al. in partial metric spaces and proved fixed point theorems for multivalued F F -contraction mappings. Some illustrative examples are provided to support our results. Moreover, an application for the existence of a solution of an integral equation is also enunciated, showing the materiality of the obtained results.

scholarly journals Fixed point of single-valued cyclic weak φF-contraction mappings

Filomat ◽  
2014 ◽  
Vol 28 (9) ◽  
pp. 1747-1752 ◽  
Author(s):  
Sirous Moradi
Keyword(s):  
Fixed Point ◽  
Metric Spaces ◽  
Contraction Mappings ◽  
Complete Metric Spaces ◽  
Contractive Mappings

Fixed point results are presented for single-valued cyclic weakly ?F-contractive mappings on complete metric spaces (X,d), where ?: [0,+?) ? [0,+ ?) is a function with ?-1(0) = {0}, ?(t) < t for all t > 0 and ?(tn) ? 0 implies tn ? 0, and F:[0,+ ?) ? [0,+ ?) is continuous with F-1(0) = {0} and F(tn) ? 0 implies tn ? 0. Our results extend previous results given by Rhoades (2001)[20], Moradi and Beiranvand (2010)[13], Amini-Harandi (2010)[2] and Karapinar (2011)[11].

scholarly journals Fixed points of Suzuki-type generalized multivalued (f,θ,L)- almost contractions with applications

Filomat ◽  
2019 ◽  
Vol 33 (2) ◽  
pp. 499-518 ◽  
Author(s):  
Naeem Saleem ◽  
Mujahid Abbas ◽  
Basit Ali ◽  
Zahid Raza
Keyword(s):  
Dynamic Programming ◽  
Fixed Point ◽  
Fixed Points ◽  
Common Fixed Point ◽  
Metric Spaces ◽  
Almost Contraction ◽  
Contraction Mappings ◽  
Complete Metric Spaces ◽  
Frame Work ◽  
Proper Generalization

In this paper, we define Suzuki type generalized multivalued almost contraction mappings and prove some related fixed point results. As an application, some coincidence and common fixed point results are obtained. The results proved herein extend the recent results on fixed points of Kikkawa Suzuki type and almost contraction mappings in the frame work of complete metric spaces. We provide examples to show that obtained results are proper generalization of comparable results in the existing literature. Some applications in homotopy, dynamic programming, integral equations and data dependence problems are also presented.

scholarly journals Best proximity point results for Suzuki-Edelstein proximal contractions via auxiliary functions

Filomat ◽  
2019 ◽  
Vol 33 (2) ◽  
pp. 435-447 ◽  
Author(s):  
Azhar Hussain ◽  
Muhammad Iqbal ◽  
Nawab Hussain
Keyword(s):  
Fixed Point ◽  
Metric Spaces ◽  
Best Proximity Point ◽  
Ordered Metric Spaces ◽  
Proximal Contraction ◽  
Contraction Mappings ◽  
Partially Ordered Metric Spaces ◽  
Complete Metric Spaces ◽  
Partially Ordered ◽  
Auxiliary Functions

In this paper we study the notion of modified Suzuki-Edelstein proximal contraction under some auxiliary functions for non-self mappings and obtain best proximity point theorems in the setting of complete metric spaces. As applications, we derive best proximity point and fixed point results for such contraction mappings in partially ordered metric spaces. Some examples are given to show the validity of our results. Our results extend and unify many existing results in the literature.

scholarly journals Fixed Point Theorem for Cyclic Weakly Generalized Contraction Mapping of Ciric Type

2020 ◽  
Vol 12 (4) ◽  
pp. 463-471
Author(s):  
S. Goyal ◽  
M. Garg
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Contraction Mapping ◽  
Metric Spaces ◽  
Generalized Contraction ◽  
Contraction Mappings ◽  
Complete Metric Spaces

In this article, the concept of cyclic weakly generalized contraction mapping of Ciric type has been introduced and the existence of a fixed point for such mappings in the setup of complete metric spaces has been established. Result obtained extends and improves some fixed point results in the literature. Example is also given to show that class of contraction mappings introduced in the paper is strictly larger class than the class of mappings used in the literature and thus ensures wider applicability of the result by producing the solutions to new problems.

scholarly journals A fixed point theorem for a Ciric-Berinde type mapping in orbitally complete metric spaces

2014 ◽  
Vol 30 (1) ◽  
pp. 63-70
Author(s):  
SEONG-HOON CHO ◽  
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Metric Spaces ◽  
Contraction Mappings ◽  
Complete Metric Spaces ◽  
Type Mapping

In this paper, we introduce the notion of Ciric-Berinde type almost set-valued contraction mappings and give a ´ fixed point theorem for these mappings in orbitally complete metric spaces.

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