New Results of Fixed-Point Theorems in Complete Metric Spaces

Author:

Yaseen Mustafa T.1ORCID,Ali Ali Hasan23ORCID,Al-moneef Areej A.4,Bazighifan Omer56ORCID,Nofal Taher A.7,Ghanim F.8

Affiliation:

1. Department of Business Administration, Shatt Al-Arab University College, Basrah, Iraq

2. Department of Mathematics, College of Education for Pure Sciences, University of Basrah, Basrah, Iraq

3. Doctoral School of Mathematical and Computational Sciences, University of Debrecen, H-4002 Debrecen, Pf. 400, Hungary

4. Department of Mathematical Sciences, College of Science, Princess Nourah Bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia

5. Department of Mathematics, Faculty of Science, Hadhramout University, Hadhramout 50512, Yemen

6. Department of Mathematics, Faculty of Education, Seiyun University, Hadhramout 50512, Yemen

7. Department of Mathematic, College of Science, Taif University, P.O. Box 11099, Taif 21944, Saudi Arabia

8. Department of Mathematics, College of Sciences, University of Sharjah, 27272 Sharjah, UAE

Abstract

In this paper, fixed point theorems of multiple values of self-mappings have been investigated in Banach space. In addition, a new modification of the same mentioned study has been considered in a metric space with at most three valued self-mappings. Moreover, we have extended and improved some existent results in a complete metric space. Finally, we present a slight improvement on some well-known lemmas that are related to nonexpansive mappings and nonincreasing distances mappings.

Funder

Taif University

Publisher

Hindawi Limited

Subject

General Engineering,General Mathematics

Reference21 articles.

1. An abstract fixed point theorem for nonexpansive mappings

2. A General Fixed Point Theorem for Multivalued Mappings That Are Not Necessarily Contractions and Applications

3. Fixed Point theorems with a new functional inequality;D. Prasad;Proceedings of the National Academy of Sciences, India - Section A,1984

4. Integrable functions of fuzzy cone and ξ - fuzzy cone and their application in the fixed point theorem

5. Some coupled fixed point theorems in cone Sb-metric space;K. A. Singh;The Journal of Mathematics and Computer Science,2020

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