Coincidence Points and R-Subweakly Commuting Multivalued Maps

Abstract

Abstract. The notion of ii-subweakly commuting multivalued mappings is defined. Some coincidence point theorems for such mappings are proved. Thus several related results in the literature are extended to a new class of noncommuting mappings.

Coincidence points and invariant approximation results on q-normed spaces

“…As application of the result, an invariant approximation result is also obtained. Incidently, the results of Bano, Khan and Latif [1], Hussain [4], Latif and Tweddle [7], Rhoades [11], Sahab, Khan and Sessa [13], Shahzad [14] and Singh [15] are also extended and improved.…”

“…Recently, Bano, Khan and Latif [1] extended the results of Lami Dezo [6] and Latif and Tweddle [7] in the setting of starshaped domain of q-normed space and used the result to establish invariant approximation result. Rhoades [11] and Shahzad [14] also extended the result of Latif and Tweddle [7] for noncommuting pair of maps in the setting of starshaped domain of Banach space. Shahzad [14] considers maps f and T satisfying a general condition…”

“…Rhoades [11] and Shahzad [14] also extended the result of Latif and Tweddle [7] for noncommuting pair of maps in the setting of starshaped domain of Banach space. Shahzad [14] considers maps f and T satisfying a general condition…”

Coincidence and Fixed Point for Weakly Reciprocally Continuous Single-Valued and Multi-Valued Maps

“…Pant [9] initiated the study of noncompatibilty by introducing point wise R-weak commutativity. Shahzad and Kamran [15], and Singh and Mishra [16], independently, extended the idea of R-weak commutativity for a hybrid pair of single and multi-valued maps. Kamran [5] extended the concept of R-weak commutativity of type A g [11] for multivalued maps and introduced R-weakly commuting mappings of type A T .…”

Coincidence Point for Noncompatible Multivalued Maps Satisfying an Implicit Relation

“…Shahzad and Kamran [15], Singh and Mishra [18] have independently extended the idea of R-weak commutativity to the settings of single and multivalued mappings. Many authors proved fixed point theorems for single-valued mappings satisfying an implicit relation including Popa [10], Popa and Pathak [12], Sharma and Deshpande [16].…”