In this paper, we prove a new common fixed point theorem for four self mappings by using the notions of compatibility and subsequential continuity (alternate subcompatibility and reciprocal continuity) in metric spaces satisfying a general contractive condition of integral type. We give some examples to support the useability of our main result. Also, we obtain some fixed point theorems of Gregus type for four mappings satisfying a strict general contractive condition of integral type in metric spaces. We conclude the paper with an application of our main result to solvability of systems of functional equations.

Chauhan, S., Aydi, H., Shatanawi, W., Vetro, C. (2014). Some integral type fixed-point theorems and an application to systems of functional equations. VIETNAM JOURNAL OF MATHEMATICS, 42(1), 17-37 [10.1007/s10013-013-0030-6].

Some integral type fixed-point theorems and an application to systems of functional equations

VETRO, Calogero
2014-01-01

Abstract

In this paper, we prove a new common fixed point theorem for four self mappings by using the notions of compatibility and subsequential continuity (alternate subcompatibility and reciprocal continuity) in metric spaces satisfying a general contractive condition of integral type. We give some examples to support the useability of our main result. Also, we obtain some fixed point theorems of Gregus type for four mappings satisfying a strict general contractive condition of integral type in metric spaces. We conclude the paper with an application of our main result to solvability of systems of functional equations.
2014
Chauhan, S., Aydi, H., Shatanawi, W., Vetro, C. (2014). Some integral type fixed-point theorems and an application to systems of functional equations. VIETNAM JOURNAL OF MATHEMATICS, 42(1), 17-37 [10.1007/s10013-013-0030-6].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10447/90303
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