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Your search keyword '"Integral equation"' showing total 2 results
2 results on '"Integral equation"'

1. GENERALIZED BERINDE-TYPE (&#951,ξ,ν,θ) CONTRACTIVE MAPPINGS IN B-METRIC SPACES WITH AN APPLICATION.

Author

ALSAMIR, HABES, SALMI, MOHD, NOORANI, MD, SHATANAWI, WASFI, and SHADDAD, FAWZIA

Subjects
*MATHEMATICAL mappings, *METRIC spaces, *GENERALIZED spaces, *FIXED point theory, *INTEGRAL equations
Abstract

The purpose of this paper is to present a new class of generalized Berinde-type (&#951,ξ,ν,θ)-contractive in b-metric space and establish some fixed and common fixed point results for the class of mappings in partially ordered complete b-metric spaces. Our results generalize and extend several known results from the context of ordered metric spaces to the setting of ordered b-metric spaces. [ABSTRACT FROM AUTHOR]

Published
2016

2. SOME FIXED POINT THEOREMS IN ORDERED DUALISTIC PARTIAL METRIC SPACES WITH APPLICATION.

Author

NAZAM, MUHAMMAD, ARSHAD, MUHAMMAD, and HUSSAIN, AFTAB

Subjects
*FIXED point theory, *ORDERED topological spaces, *METRIC spaces, *INTEGRAL equations, *CONTRACTIONS (Topology), *MATHEMATICAL mappings
Abstract

In this paper, we introduce the notion of dualistic contraction of rational type. We prove some fixed point theorems for ordered mappings satisfying above mentioned contraction. We give examples to illustrate the importance of these results. We present an application of our fixed point result to show the existence of solution of integral equations. [ABSTRACT FROM AUTHOR]

Published
2016

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