General Common Fixed Point Theorems and Applications

Abstract

The main result is a common fixed point theorem for a pair of multivalued maps on a complete metric space extending a recent result ofĐorić and Lazović (2011) for a multivalued map on a metric space satisfying Ćirić-Suzuki-type-generalized contraction. Further, as a special case, we obtain a generalization of an important common fixed point theorem of Ćirić (1974). Existence of a common solution for a class of functional equations arising in dynamic programming is also discussed.

Universal Coefficient Theorem and Quantum Field Theory

“…Most proofs are of algebraic topological nature [76]. However, this theorem has many applications, from theoretical economics [77] to applied mathematics [78].…”

A Suzuki type unique common fixed point theorem for two pairs of hybrid maps under a new condition in partial metric spaces

“…[9,11,14,15,16,17]). On the other hand, the basic notion of partial metric space was introduced by S. G. Mathews [12] as a part of the study of denotational semantics of data flow network.…”

Fixed point theorems for hybrid contraction without continuity

“…Subsequently a number of fixed point theorems in metric space have been proved for multi-valued mapping satisfying contractive type conditions (see, for instance [8], [9], [18], [20], [32] and references therein). Later on the study of hybrid fixed point theory for nonlinear single-valued and multi-valued mappings is a new development in the domain of contractive type multi-valued theory( see, for instance [4], [5], [12], [17], [21], [24], [28], [29], [30], [31], [33], [34] and references therein).…”