PPF Dependent common fixed points of generalized weakly contractive type multi-valued mappings

Author:

BABU Gutti V. R.1ORCID,VINOD KUMAR Madugula2ORCID

Affiliation:

1. ANDHRA UNIVERSITY

2. ANIL NEERUKONDA INSTITUTE OF TECHNOLOGY AND SCIENCES, SANGIVALASA, VISAKHAPATNAM, ANDHRA PRADESH, INDIA - 531162.

Abstract

In this paper, we introduce the notion of generalized weakly contractive type multi-valued mapping with respect to a single-valued mapping and prove the existence of PPF dependent coincidence points in Banach spaces. Further, we introduce the notion of generalized weakly contractive type multivalued mappings for a pair of multi-valued mappings and prove the existence of PPF dependent common fixed points in Banach spaces. We draw some corollaries and provide nontrivial examples to illustrate our results.

Publisher

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics

Reference22 articles.

1. Alber,Ya. I., Guerre-Delabriere S., Principles of weakly contractive maps in Hilbert spaces New results in operator theory, Adv. Appl., Birkhauser Verlag, 98(1997), 7-22.

2. Babu, G.V.R., Satyanarayana, G., Vinod Kumar, M., Properties of Razumikhin class of functions and PPF dependent fixed points of Weakly contractive type mappings, Bull. Int. Math. Virtual Institute, 9 (2019), 65-72. DOI:10.7251/BIMVI1901065B

3. Babu, G.V.R., Vinod Kumar, M., PPF dependent fixed points of generalized Suzuki type contractions via simulation functions, Advances in the Theory of Nonlinear Anal. and Its Appl., 3 (2019), 121-140. https://doi.org/10.31197/atnaa.588945

4. Babu, G.V.R., Vinod Kumar, M., PPF dependent fixed points of generalized contractions via CG−simulation functions, Communications in Nonlinear Anal., 7 (2019), 1-16.

5. Babu, G.V.R., Vinod Kumar, M., PPF dependent fixed points of generalized weakly contraction maps via CG−simulation functions, Maltepe J. Math., 1 (2019), 66-88.

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