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FIXED POINT THEOREMS FOR MAPPINGS SATISFYING IMPLICIT RELATION ON TWO complete AND COMPACT metric spaceS

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Applied Mathematics and Mechanics(English Edition) 2006年第9期27卷 1217-1222页

作者： Abdlkrim Aliouche Brian Fisher Department of Mathematics University of Lari Ben M'Hidi Oum EI Bouaghi 04000 Algria Department of Mathematics University of Leicester Leicester LE1 7RHU. K.

First, the implicit relations were given. A common fixed point theorem was proved for two mappings satisfying implicit relation functions. A further fixed point theorem was proved for mappings satisfying implicit rela... 详细信息

关键词： complete metric space compact metric space fixed Points implicit relation

Solving Fractional Differential Equations via Fixed Points of Chatterjea Maps

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Computer Modeling in Engineering & Sciences 2023年第6期135卷 2617-2648页

作者： Nawab Hussain Saud M.Alsulami Hind Alamri Department of Mathematics King Abdulaziz UniversityP.O.Box 80203Jeddah21589Saudi Arabia Department of Mathematics College of ScienceTaif UniversityP.O.Box 11099Taif21944Saudi Arabia

In this paper,we present the existence and uniqueness of fixed points and common fixed points for Reich and Chatterjea pairs of self-maps in complete metric ***,we study fixed point theorems for Reich and Chatterjea nonexpansive mappings in a Banach space using the Krasnoselskii-Ishikawa iteration method associated withSλand consider some applications of our results to prove the existence of solutions for nonlinear integral and nonlinear fractional differential *** also establish certain interesting examples to illustrate the usability of our results.

关键词： Common fixed points Reich and Chatterjea mappings Krasnoselskii-Ishikawa iteration complete metric space Banach space integral equation nonlinear fractional differential equation

FIXED POINTS ON TWO complete AND COMPACT metric spaceS

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Applied Mathematics and Mechanics(English Edition) 2001年第5期22卷 564-568页

作者： M. Telci (Department of Mathematics, Faculty of Arts and Science, Trakya University, 22030 Ediren, Turkey) (Communicated by CHIEN Wei_zang) Department of Mathematics Faculty of Arts and Science Trakya University Ediren Turkey

By using functions, some related fixed point theorems on two metric spaces are established. These results generalize some theorems of Fisher.

关键词： fixed point complete metric space compact metric space

Fixed points on complete metric spaces

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Journal of Southeast University(English Edition) 2004年第2期20卷 256-260页

作者：朱顺荣南京理工大学应用数学系南京210094

Two new fixed point theorems on two complete metric spaces are proved by using the concept of w -distance. One of the results is: let (X,d) and (Y,ρ) be two complete metric spaces,let p 1 be a w -distance on X and p 2 be a w -distance on Y . If T is a continuous mapping of X into Y and S is a mapping of Y into X ,satisfying the inequalities: p 1(STx,STx′)≤c max ｛p 1(x,x′),p 1(x,STx),p 1(x′,STx′),p 1(x,STx′)/2,p 2(Tx,Tx′)｝ and p 2(TSy,TSy′)≤c max ｛p 2(y,y′),p 2(y,TSy),p 2(y′,TSy′),p 2(y,TSy′)/2,p 1(Sy,Sy′)｝ for all x,x′ in X and y,y′ in Y ,where 0≤ c<1. We have proved that ST has a unique fixed point z in X and TS has a unique fixed point w in Y . The two theorems have improved the fixed point theorems of Fisher and Namdeo,et al.

关键词： fixed point complete metric space w-distance